{"id":249,"date":"2023-07-10T15:03:57","date_gmt":"2023-07-10T07:03:57","guid":{"rendered":"https:\/\/www.funworld.cc\/?p=249"},"modified":"2023-07-10T15:04:25","modified_gmt":"2023-07-10T07:04:25","slug":"%e7%b4%a0%e6%95%b0%e7%ad%9b%e7%9a%84%e4%bb%8b%e7%bb%8d","status":"publish","type":"post","link":"https:\/\/blog.itsmygo.cn\/?p=249","title":{"rendered":"\u7d20\u6570\u7b5b\u7684\u4ecb\u7ecd"},"content":{"rendered":"<h1>\u524d\u8a00<\/h1>\n<p>\u7d20\u6570\u662f\u4e00\u4e2a\u6b63\u6574\u6570\uff0c\u53ea\u80fd\u9664\u4ee5 1 \u548c\u81ea\u8eab\uff0c\u4e0d\u5305\u62ec 1\u3002\u51e0\u4e2a\u4e16\u7eaa\u4ee5\u6765\uff0c\u8fd9\u79cd\u7c7b\u578b\u7684\u6570\u5b57\u56e0\u5176\u5728\u5404\u79cd\u6570\u5b66\u6982\u5ff5\uff08\u5305\u62ec\u5bc6\u7801\u5b66\u548c\u6570\u8bba\uff09\u4e2d\u7684\u72ec\u7279\u6027\u8d28\u548c\u91cd\u8981\u6027\u800c\u4f7f\u6570\u5b66\u5bb6\u7740\u8ff7\u3002\u6b64\u5916\uff0c\u7d20\u6570\u5728\u6570\u5b66\u4e4b\u5916\u8fd8\u6709\u5b9e\u9645\u5e94\u7528\uff0c\u4f8b\u5982\u5728\u8ba1\u7b97\u7b97\u6cd5\u548c\u6570\u636e\u7f16\u7801\u4e2d\u3002\u7136\u800c\uff0c\u8bc6\u522b\u7d20\u6570\u53ef\u80fd\u662f\u4e00\u9879\u5177\u6709\u6311\u6218\u6027\u7684\u4efb\u52a1\uff0c\u7279\u522b\u662f\u5bf9\u4e8e\u5927\u6570\uff0c\u5e76\u4e14\u6b63\u5728\u7814\u7a76\u5bfb\u627e\u6709\u6548\u7684\u7d20\u6570\u751f\u6210\u548c\u6d4b\u8bd5\u65b9\u6cd5\u3002\u5c3d\u7ba1\u56f0\u96be\u91cd\u91cd\uff0c\u7d20\u6570\u4ecd\u7136\u662f\u6570\u5b66\u7684\u4e00\u4e2a\u8ff7\u4eba\u800c\u57fa\u672c\u7684\u65b9\u9762\uff0c\u8fd8\u6709\u8bb8\u591a\u8ff7\u4eba\u7684\u6027\u8d28\u6709\u5f85\u53d1\u73b0\u3002<\/p>\n<p>\u4e3a\u4e86\u5224\u65ad\u4e00\u4e2a\u6570\u662f\u5426\u4e3a\u7d20\u6570\uff0c\u9664\u4e86\u4f7f\u7528\u8fd9\u4e2a\u5b9a\u4e49\u6cd5\uff0c\u8fd8\u6709\u66f4\u591a\u590d\u6742\u5ea6\u8f83\u5c0f\u7684\u7b97\u6cd5\uff0c\u8fd9\u4e9b\u7b97\u6cd5\u4e5f\u88ab\u79f0\u4f5c\u7d20\u6570\u7b5b\uff0c\u8be5\u6587\u5373\u662f\u6765\u4ecb\u7ecd\u4e0d\u540c\u7d20\u6570\u7b5b\u7b97\u6cd5\u7684\u3002<\/p>\n<h1>\u5b9a\u4e49\u6cd5<\/h1>\n<h4>\u4f18\u5316\u524d<\/h4>\n<p>\u56e0\u4e3a\u7d20\u6570\u662f\u53ea\u80fd\u88ab\u81ea\u8eab\u4e0e1\u6574\u9664\u7684\u6570\u5b57\uff0c\u90a3\u4e48\u6211\u4eec\u5c31\u53ef\u4ee5\u5224\u65ad\u8fd9\u4e2a\u6570\u5b57\u80fd\u5426\u88ab\u6bd4\u5b83\u5c0f\u7684\u6570\u5b57\u6574\u9664\uff0c\u8fd9\u662f\u4e00\u4e2a\u5341\u5206\u7b80\u5355\u7c97\u66b4\u7684\u65b9\u6cd5\uff0c\u5982\u679c\u8981\u5217\u51fa\u524dn\u4e2a\u6b63\u6574\u6570\u4e2d\u7684\u7d20\u6570\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u8fbe\u5230\u4e86\u60ca\u4eba\u7684O(n\u00b2)<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"cpp\">#include &lt;bits\/stdc++.h&gt;\r\n\r\nusing namespace std;\r\n\r\nbool isPrime(int num) {\r\n    if (num == 2) return true;\r\n    for (int i = 2; i &lt; num; i++) {\r\n        if (num % i == 0)return false;\r\n    }\r\n    return true;\r\n}\r\n\r\nvoid outPrime(int arrange) {\r\n    for (int i = 2; i &lt;= arrange; i++) {\r\n        if (isPrime(i)) cout &lt;&lt; i &lt;&lt; endl;\r\n    }\r\n}\r\n\r\nint main() {\r\n    outPrime(100);\r\n}<\/pre>\n<p>\u8fd9\u4e00\u6bb5\u4ee3\u7801\u53ef\u4ee5\u8f93\u51fa\u524d1~100\u4e4b\u95f4\u7684\u7d20\u6570\uff0c\u4f46\u662f\u4e00\u65e6\u8fd9\u4e2a\u8303\u56f4\u8fbe\u52301~1000000\u5c31\u4f1a\u5bfc\u81f4\u8981\u7b49\u5f85\u5f88\u957f\u4e00\u6bb5\u65f6\u95f4\u624d\u80fd\u51fa\u7ed3\u679c\uff0c\u56e0\u4e3a\u4ed6\u7684\u590d\u6742\u5ea6\u662fO(n\u00b2)\u3002<\/p>\n<h4>\u4f18\u5316\u540e<\/h4>\n<p>\u5728\u5224\u65adn\u662f\u5426\u4e3a\u7d20\u6570\u65f6\uff0c\u5b9e\u9645\u4e0a\u6211\u4eec\u4e0d\u5fc5\u8ba9n\u53d6\u6a21\u5faa\u73af\u5230n-1\uff0c\u6839\u636e\u5df2\u77e5\u6570\u5b66\u77e5\u8bc6\uff0c\u6211\u4eec\u53ef\u4ee5\u53ea\u7528\u5faa\u73af\u5230sqrt(n)\u5373\u53ef\uff0c\u4e8e\u662f\u6574\u6bb5\u4ee3\u7801\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u53d8\u4e3aO(nlogn)<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"cpp\">#include &lt;bits\/stdc++.h&gt;\r\n\r\nusing namespace std;\r\n\r\nbool isPrime(int num) {\r\n    if (num == 2) return true;\r\n    for (int i = 2; i * i &lt; num; i++) {\r\n        if (num % i == 0)return false;\r\n    }\r\n    return true;\r\n}\r\n\r\nvoid outPrime(int arrange) {\r\n    int temp = 0;\r\n    for (int i = 2; i &lt;= arrange; i++) {\r\n        if (isPrime(i)) cout &lt;&lt; i &lt;&lt; endl; \r\n    }\r\n}\r\n\r\nint main() {\r\n    outPrime(1000000);\r\n}<\/pre>\n<p>\u8fd9\u4e32\u4ee3\u7801\u8017\u65f6\u5c31\u6bd4\u4f18\u5316\u524d\u8981\u5feb\u5f88\u591a\uff0c\u5f53\u7136\uff0c\u4e3a\u4e86\u66f4\u5feb\u7684\u5f97\u5230\u7d20\u6570\u8868\uff0c\u4ecd\u7136\u6709\u65f6\u95f4\u590d\u6742\u5ea6\u66f4\u5c0f\u7684\u7b97\u6cd5\uff0c\u4e0b\u9762\u6211\u4eec\u6765\u4ecb\u7ecd\u7d20\u6570\u7b5b\u3002<\/p>\n<h1>\u7d20\u6570\u7b5b<\/h1>\n<h4><b>\u57c3\u6c0f\u7b5b<\/b><\/h4>\n<p>\u4e3e\u4e2a\u4f8b\u5b50\uff0c\u6211\u4eec\u5148\u5217\u51fa2~16\uff081\u4e0d\u662f\u7d20\u6570\uff09\uff1a<\/p>\n<p><strong>2\u00a0 3\u00a0 4\u00a0 5\u00a0 6\u00a0 7\u00a0 8\u00a0 9\u00a0 10\u00a0 11\u00a0 12\u00a0 13\u00a0 14\u00a0 15\u00a0 16<\/strong><\/p>\n<p>\u7136\u540e\u4ece2\u5f00\u59cb\uff0c\u5c06\u6240\u9009\u6570\u5b57\u7684\u6240\u6709\u500d\u6570\u6807\u7ea2<\/p>\n<p><strong>2\u00a0 3\u00a0 <span style=\"color: #ff0000;\">4<\/span>\u00a0 5\u00a0 <span style=\"color: #ff0000;\">6<\/span>\u00a0 7\u00a0 <span style=\"color: #ff0000;\">8<\/span>\u00a0 9\u00a0 <span style=\"color: #ff0000;\">10<\/span>\u00a0 11\u00a0 <span style=\"color: #ff0000;\">12<\/span>\u00a0 13\u00a0 <span style=\"color: #ff0000;\">14<\/span>\u00a0 15\u00a0 <span style=\"color: #ff0000;\">16<\/span><\/strong><\/p>\n<p>\u63a5\u7740\u4e0b\u4e00\u4e2a\u7d20\u6570\u662f3<\/p>\n<p><strong>2\u00a0 3\u00a0 <span style=\"color: #ff0000;\">4<\/span>\u00a0 5\u00a0 <span style=\"color: #ff0000;\">6<\/span>\u00a0 7\u00a0 <span style=\"color: #ff0000;\">8<\/span>\u00a0 <span style=\"color: #ff0000;\">9<\/span>\u00a0 <span style=\"color: #ff0000;\">10<\/span>\u00a0 11\u00a0 <span style=\"color: #ff0000;\">12<\/span>\u00a0 13\u00a0 <span style=\"color: #ff0000;\">14<\/span>\u00a0 <span style=\"color: #ff0000;\">15<\/span>\u00a0 <span style=\"color: #ff0000;\">16<\/span><\/strong><\/p>\n<p>\u4e0b\u4e00\u4e2a\u7d20\u6570\u662f5\uff0c\u4f46\u662f5 * 5 &gt; 16\uff0c\u8d85\u51fa\u4e86\u8fd9\u4e00\u4e32\u6570\u5b57\u7684\u4e0a\u9650\uff0c\u6240\u4ee5\u4e0d\u9700\u8981\u7ee7\u7eed\u5f80\u540e\u9762\u5904\u7406\u4e86\u3002<\/p>\n<p>\u4e8e\u662f\u989c\u8272\u4ecd\u7136\u662f\u9ed1\u8272\u7684\u5c31\u662f\u7d20\u6570\u3002<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"cpp\">#define MAXN 1000\r\n#include &lt;bits\/stdc++.h&gt;\r\n\r\nusing namespace std;\r\n\r\nint main() {\r\n    int isPrime[1001] = {0}; \/\/ \u82e5\u4e3a\u7d20\u6570\u5219\u662f1\r\n    memset(isPrime, 1, sizeof(isPrime));\r\n    for (int i = 2; i * i &lt;= MAXN; i++) {\r\n        if (isPrime[i]) {\r\n            for (int j = 2; i * j &lt;= MAXN; j++) {\r\n                isPrime[i * j] = 0; \/\/ \u4e3a\u500d\u6570\u5219\u4e0d\u662f\u7d20\u6570\r\n            }\r\n        }\r\n    }\r\n    for (int i = 2; i &lt;= MAXN; i++) {\r\n        if (isPrime[i]) {\r\n            cout &lt;&lt; i &lt;&lt; endl;\r\n        }\r\n    }\r\n}<\/pre>\n<p>\u4ee3\u7801\u5b9e\u73b0\u8fc7\u7a0b\u5982\u4e0a\uff0c\u53ef\u4ee5\u8f93\u51fa1~1000\u4ee5\u5185\u7684\u7d20\u6570\uff0c\u5176\u590d\u6742\u5ea6\u662fO(n)=nloglogn\u3002<\/p>\n<p>\u4f46\u662f\u6211\u4eec\u80fd\u6ce8\u610f\u5230\uff0c\u4e00\u4e2a\u6570\u53ef\u4ee5\u662f\u4e0d\u540c\u7d20\u6570\u7684\u500d\u6570\uff0c\u6bd4\u5982\u8bf415 = 3 * 5\uff0c\u90a3\u4e48\u5faa\u73af\u52303\u548c5\u7684\u65f6\u5019\u90fd\u4f1a\u5bf915\u8fdb\u884c\u4e00\u6b21\u7b5b\u9009\u64cd\u4f5c\uff0c\u4e8e\u662f\u4f1a\u8fdb\u884c\u4e00\u6b21\u91cd\u590d\u65e0\u6548\u64cd\u4f5c\uff0c\u90a3\u4e48\u6211\u4eec\u5f15\u5165\u4e86<span class='badge badge-primary'>\u6b27\u62c9\u7b5b<\/span>\u8fd9\u4e00\u7b97\u6cd5\uff0c\u8fd9\u4e2a\u7b97\u6cd5\u7684\u672c\u8d28\u662f<strong>\u8ba9\u5408\u6570\u88ab\u5b83\u7684\u6700\u5c0f\u8d28\u56e0\u6570\u7b5b\u9009\u6389<\/strong>\u3002<\/p>\n<h4>\u6b27\u62c9\u7b5b<\/h4>\n<p>\u518d\u6b21\u5f15\u51651~16<\/p>\n<p><strong><span style=\"color: #000000;\">2<\/span>\u00a0 3\u00a0 4\u00a0 5\u00a0 6\u00a0 7\u00a0 8\u00a0 9\u00a0 10\u00a0 11\u00a0 12\u00a0 13\u00a0 14\u00a0 15\u00a0 16<\/strong><\/p>\n<p>Primes = [2]<\/p>\n<p>\u8ba92\u4e0ePrimes\u91cc\u7684\u5143\u7d20\u6c42\u79ef\uff0c2*2=4\uff0c\u6240\u4ee5\u5c064\u6807\u7ea2<\/p>\n<p><strong><span style=\"color: #000000;\">2<\/span>\u00a0 3\u00a0 <span style=\"color: #ff0000;\">4<\/span>\u00a0 5\u00a0 6\u00a0 7\u00a0 8\u00a0 9\u00a0 10\u00a0 11\u00a0 12\u00a0 13\u00a0 14\u00a0 15\u00a0 16<\/strong><\/p>\n<p>Primes = [2,3]<\/p>\n<p>\u8ba93\u4e0ePrimes\u91cc\u7684\u5143\u7d20\u6c42\u79ef\uff0c3*2 = 6\uff0c3*3 = 9\uff0c\u6240\u4ee5\u5c066\u548c9\u6807\u7ea2<\/p>\n<p><strong><span style=\"color: #000000;\">2<\/span>\u00a0 3\u00a0 <span style=\"color: #ff0000;\">4<\/span>\u00a0 5\u00a0 <span style=\"color: #ff0000;\">6<\/span>\u00a0 7\u00a0 8\u00a0 <span style=\"color: #ff0000;\">9<\/span>\u00a0 10\u00a0 11\u00a0 12\u00a0 13\u00a0 14\u00a0 15\u00a0 16<\/strong><\/p>\n<p>Primes = [2,3]<\/p>\n<p>\u8ba94\u4e0ePrimes\u91cc\u7684\u5143\u7d20\u6c42\u79ef\uff0c4*2 = 8\uff0c4*3 = 12\uff0c\u5c068\u548c12\u6807\u7ea2<\/p>\n<p><strong><span style=\"color: #000000;\">2<\/span>\u00a0 3\u00a0 <span style=\"color: #ff0000;\">4<\/span>\u00a0 5\u00a0 <span style=\"color: #ff0000;\">6<\/span>\u00a0 7\u00a0 <span style=\"color: #ff0000;\">8<\/span>\u00a0 <span style=\"color: #ff0000;\">9<\/span>\u00a0 10\u00a0 11\u00a0 <span style=\"color: #ff0000;\">12<\/span>\u00a0 13\u00a0 14\u00a0 15\u00a0 16<\/strong><\/p>\n<p>Primes = [2,3,5]<\/p>\n<p>\u4ee5\u6b64\u7c7b\u63a8\uff0c10\u300115\u300125\u6807\u7ea2\uff0c\u56e0\u4e3a25&gt;16\uff0c\u6240\u4ee5\u8df3\u8fc7<\/p>\n<p><strong><span style=\"color: #000000;\">2<\/span>\u00a0 3\u00a0 <span style=\"color: #ff0000;\">4<\/span>\u00a0 5\u00a0 <span style=\"color: #ff0000;\">6<\/span>\u00a0 7\u00a0 <span style=\"color: #ff0000;\">8<\/span>\u00a0 <span style=\"color: #ff0000;\">9<\/span>\u00a0 <span style=\"color: #ff0000;\">10<\/span>\u00a0 11\u00a0 <span style=\"color: #ff0000;\">12<\/span>\u00a0 13\u00a0 14\u00a0 <span style=\"color: #ff0000;\">15<\/span>\u00a0 16<\/strong><\/p>\n<p>Primes = [2,3,5]<\/p>\n<p>\u6700\u540e\u5faa\u73af\u52308\u5c31\u53ef\u4ee5\u5c06\u6240\u6709\u5408\u6570\u7b5b\u6389<\/p>\n<p><strong><span style=\"color: #000000;\">2<\/span>\u00a0 3\u00a0 <span style=\"color: #ff0000;\">4<\/span>\u00a0 5\u00a0 <span style=\"color: #ff0000;\">6<\/span>\u00a0 7\u00a0 <span style=\"color: #ff0000;\">8<\/span>\u00a0 <span style=\"color: #ff0000;\">9<\/span>\u00a0 <span style=\"color: #ff0000;\">10<\/span>\u00a0 11\u00a0 <span style=\"color: #ff0000;\">12<\/span>\u00a0 13\u00a0 <span style=\"color: #ff0000;\">14<\/span>\u00a0 <span style=\"color: #ff0000;\">15<\/span>\u00a0 <span style=\"color: #ff0000;\">16<\/span><\/strong><\/p>\n<p>\u56e0\u4e3a\u4efb\u610f\u5408\u6570\u90fd\u80fd\u62c6\u6210\u4e00\u4e2a\u7d20\u6570\u4e58\u4e00\u4e2a\u6574\u6570\uff0c\u6240\u4ee5\u6211\u4eec\u53ea\u9700\u8981\u627e\u51fa\u8fd9\u4e2a\u6700\u5c0f\u7684\u7d20\u6570\u5373\u53ef\u3002<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"cpp\">#include &lt;bits\/stdc++.h&gt;\r\n#define MAXN 100000000\r\n\r\nusing namespace std;\r\nint isPrime[100000000];\r\n\r\nint main() {\r\n    vector&lt;int&gt; primes;\r\n    memset(isPrime, 1, sizeof(isPrime)); \/\/ \u8d28\u6570\u4e3a1\uff0c\u7b5b\u6389\u5408\u6570\u4e3a0\r\n    for (int i = 2; i &lt;= MAXN; i++) {\r\n        if (isPrime[i]) {\r\n            primes.push_back(i);\r\n        }\r\n        for (int j : primes) {\r\n            if (i * j &gt; MAXN)break;\r\n            isPrime[i * j] = 0;\r\n        }\r\n    }\r\n    for (int num : primes) {\r\n        cout &lt;&lt; num &lt;&lt; endl;\r\n    }\r\n}<\/pre>\n<p>\u8be5\u4ee3\u7801\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u53ea\u6709O(n)=n\uff0c\u5982\u679c\u628a\u5e95\u4e0b\u7684\u8f93\u51fa\u8bed\u53e5\u5220\u6389\uff0c\u8be5\u4ee3\u7801\u83b7\u5f971~1e\u4e4b\u95f4\u7684\u7d20\u6570\u53ea\u89812~3s\uff0c\u5de8\u5feb\uff01<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u524d\u8a00 \u7d20\u6570\u662f\u4e00\u4e2a\u6b63\u6574\u6570\uff0c\u53ea\u80fd\u9664\u4ee5 1 \u548c\u81ea\u8eab\uff0c\u4e0d\u5305\u62ec 1\u3002\u51e0\u4e2a\u4e16\u7eaa\u4ee5\u6765\uff0c\u8fd9\u79cd\u7c7b\u578b\u7684\u6570\u5b57\u56e0\u5176\u5728\u5404\u79cd\u6570\u5b66\u6982\u5ff5\uff08\u5305\u62ec [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[14,8],"tags":[33,34],"class_list":["post-249","post","type-post","status-publish","format-standard","hentry","category-c-code","category-code","tag-33","tag-34"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u7d20\u6570\u7b5b\u7684\u4ecb\u7ecd - It&#039;s MyGO<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/blog.itsmygo.cn\/?p=249\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u7d20\u6570\u7b5b\u7684\u4ecb\u7ecd - It&#039;s MyGO\" 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