{"id":248,"date":"2017-03-16T19:56:34","date_gmt":"2017-03-16T11:56:34","guid":{"rendered":"http:\/\/www.tastestars.com\/?p=248"},"modified":"2017-03-16T19:59:26","modified_gmt":"2017-03-16T11:59:26","slug":"1104","status":"publish","type":"post","link":"https:\/\/tastestars.com\/index.php\/2017\/03\/16\/1104\/","title":{"rendered":"\u4e5d\u5ea6\u9898\u76ee1104\uff1a\u6574\u9664\u95ee\u9898"},"content":{"rendered":"<p>\u9898\u76ee\u63cf\u8ff0\uff1a<br \/>\n\u7ed9\u5b9an\uff0ca\u6c42\u6700\u5927\u7684k\uff0c\u4f7fn\uff01\u53ef\u4ee5\u88aba^k\u6574\u9664\u4f46\u4e0d\u80fd\u88aba^(k+1)\u6574\u9664\u3002<\/p>\n<p>\u8f93\u5165\uff1a<br \/>\n\u4e24\u4e2a\u6574\u6570n(2<=n<=1000)\uff0ca(2<=a<=1000)\n <br \/>\n\u8f93\u51fa\uff1a<br \/>\n\u4e00\u4e2a\u6574\u6570.<br \/>\n<br \/>\n\u6837\u4f8b\u8f93\u5165\uff1a<br \/>\n6 10<br \/>\n<br \/>\n\u6837\u4f8b\u8f93\u51fa\uff1a<br \/>\n1<br \/>\n<br \/>\n\u601d\u8def\uff1a<br \/>\n\u6c42\u7684\u662f\u6700\u5927\u7684k\u4f7f\u5f97b\u53ef\u4ee5\u88aba^k\u6574\u9664\uff0c\u4f46\u662f\u4e0d\u53ef\u4ee5\u88aba^(k+1)\u6574\u9664\u3002\u7528\u7684\u65b9\u6cd5\u662f\u6c42\u51fa\u6240\u6709b\u7684\u7d20\u56e0\u5b50\u6b21\u65b9\uff0c\u770ba\u4e2d\u76f8\u5e94\u7d20\u56e0\u5b50\u6b21\u65b9,\u82e5\u6ca1\u6709\uff0c\u8c03\u8fc7\uff0c\u82e5\u6709\uff0c\u5224\u65adb\u7684\u6b21\u65b9\u662fa\u7684\u6b21\u65b9\u7684\u51e0\u500d\uff0c\u9009\u62e9\u6240\u6709\u7d20\u56e0\u5b50\u4e2d\u6b21\u65b9\u500d\u6570\u6700\u5c0f\u7684\u3002\u8fd9\u6837\u624d\u662f\u53ef\u4ee5\u6ee1\u8db3b\u53ef\u4ee5\u88aba\u6574\u9664\u4f46\u518d\u591a\u4e00\u4e2a\u6b21\u65b9\u5c31\u4e0d\u53ef\u4ee5\u4e86\u3002<br \/>\n<br \/>\n\u4ee3\u7801\uff1a<\/p>\n<pre class=\"lang:default decode:true \" >#include&lt;iostream&gt;\r\n#include&lt;stdio.h&gt;\r\n#include&lt;cstdio&gt;\r\n#include&lt;math.h&gt;\r\n#define MAX 1002\r\nusing namespace std;\r\nint a[1002];\r\nint prime[1002];\r\nint primeSize;\r\nbool judge(int i) {  \/\/\u662f\u7d20\u6570\uff1f\r\n \r\n    if (i &lt;= 1)\r\n        return false;\r\n    int bound = (int)sqrt((double)i)+1;\r\n    for (int j = 2; j &lt;= bound; j++) {\r\n        if (i%j == 0)\r\n            return false;\r\n    }\r\n    return true;\r\n}\r\nvoid init() {    \/\/\u521d\u59cb\u5316\uff0ca[i]\u4e3a1\u8868\u793a\u4e0d\u662f\u7d20\u6570\uff0ca[i]\u4e3a0\u662f\u7d20\u6570\r\n    primeSize=2;\r\n    for (int i = 0; i &lt; MAX; i++) {\r\n        a[i] = 0 ;\r\n    }\r\n    a[0] = 1;\r\n    a[1] = 1;\r\n    a[2] = 0;\r\n    prime[1]=2;\r\n    for (int i = 3; i &lt;= MAX; i++) {\r\n        if (a[i] == 1) \/\/\u5df2\u7ecf\u4e0d\u662f\u7d20\u6570\u4e86\r\n            continue;\r\n        if (!judge(i)) { \/\/\u4e0d\u662f\u7d20\u6570\r\n            a[i] = 1;\r\n            if(i&lt; (int)sqrt((double)MAX)){\r\n                for (int j = i*i; j &lt;= (int)sqrt((double)MAX); j += i) {\r\n                    a[j] = 1;\r\n                }\r\n                 \r\n            }       \r\n        }\r\n        else\r\n            prime[primeSize++]=i;\r\n    }\r\n}\r\n    int cnt[1002];  \/\/n\uff01\u4e2d\u7684a\u4e2d\u6240\u5b58\u56e0\u5b50\u6570\r\n    int cnt2[1002]; \/\/a\u4e2d\u7684\u4e2d\u6240\u5b58\u56e0\u5b50\u6570\r\nint main() {\r\n    int n,a;\r\n    init();\r\n    while(cin&gt;&gt;n&gt;&gt;a){\r\n        for(int i=1;i&lt;primeSize;i++){\r\n            cnt[i]=cnt2[i]=0;\/\/\u8ba1\u6570\u5668\u6e05\u96f6\r\n        }\r\n        for(int i=1;i&lt;primeSize;i++){ \/\/\u5c06n\uff01\u5206\u89e3\uff0c\u904d\u5386\u6bcf\u4e00\u4e2a0\u52301000\u7684\u4e34\u65f6\u7d20\u6570\r\n            int t=n;  \/\/\u4e34\u65f6\u4fdd\u5b58n\r\n            while(t){\r\n                cnt[i]+=t\/prime[i]; \r\n                t\/=prime[i];\/\/\u4f9d\u6b21\u8ba1\u7b97t\/prime[i]^k,\u7d2f\u52a0\u5176\u503c\uff0c\u76f4\u5230t\/prime[i]^k\u53d8\u4e3a0\r\n            }\r\n        }\r\n        int ans=123123123;  \/\/\u7b54\u6848\u521d\u59cb\u5316\u4e3a\u4e00\u4e2a\u5927\u6574\u6570\uff0c\u4e3a\u53d6\u6700\u5c0f\u503c\u505a\u51c6\u5907\r\n        for(int i=1;i&lt;primeSize;i++){  \/\/\u5bf9a\u5206\u89e3\u7d20\u56e0\u6570\r\n            while(a%prime[i]==0){\r\n                cnt2[i]++;\r\n                a\/=prime[i];\r\n            }\r\n            if(cnt2[i]==0) continue;\/\/\u82e5\u7d20\u6570\u4e0d\u80fd\u4ecea\u4e2d\u5206\u89e3\u5230\uff0c\u5373\u5176\u5bf9\u5e94\u5e42\u6307\u6570\u4e3a0\uff0c\u5219\u5176\u4e0d\u5f71\u54cd\u6574\u4f53\u6027\uff0c\u8c03\u8fc7\r\n            if(cnt[i]\/cnt2[i]&lt;ans)\r\n                ans=cnt[i]\/cnt2[i]; \/\/\u7edf\u8ba1\u8fd9\u4e9b\u5546\u7684\u6700\u5c0f\u503c\r\n        }\r\n        cout&lt;&lt;ans&lt;&lt;endl;\r\n    }\r\n    return 0;\r\n}\r\n\/**************************************************************\r\n    Problem: 1104\r\n    User: WZDCJ0206\r\n    Language: C++\r\n    Result: Accepted\r\n    Time:0 ms\r\n    Memory:1548 kb\r\n****************************************************************\/<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>\u9898\u76ee\u63cf\u8ff0\uff1a \u7ed9\u5b9an\uff0ca\u6c42\u6700\u5927\u7684k\uff0c\u4f7fn\uff01\u53ef\u4ee5\u88aba^k\u6574\u9664\u4f46\u4e0d\u80fd\u88aba^(k+1)\u6574\u9664\u3002 \u8f93\u5165\uff1a \u4e24\u4e2a\u6574\u6570n(2<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[1],"tags":[],"class_list":["post-248","post","type-post","status-publish","format-standard","hentry","category-python"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/s9Hs6X-1104","_links":{"self":[{"href":"https:\/\/tastestars.com\/index.php\/wp-json\/wp\/v2\/posts\/248","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/tastestars.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/tastestars.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/tastestars.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/tastestars.com\/index.php\/wp-json\/wp\/v2\/comments?post=248"}],"version-history":[{"count":3,"href":"https:\/\/tastestars.com\/index.php\/wp-json\/wp\/v2\/posts\/248\/revisions"}],"predecessor-version":[{"id":252,"href":"https:\/\/tastestars.com\/index.php\/wp-json\/wp\/v2\/posts\/248\/revisions\/252"}],"wp:attachment":[{"href":"https:\/\/tastestars.com\/index.php\/wp-json\/wp\/v2\/media?parent=248"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tastestars.com\/index.php\/wp-json\/wp\/v2\/categories?post=248"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tastestars.com\/index.php\/wp-json\/wp\/v2\/tags?post=248"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}