{"id":823,"date":"2013-09-10T15:27:21","date_gmt":"2013-09-10T07:27:21","guid":{"rendered":"http:\/\/www.shuizilong.com\/house\/?p=823"},"modified":"2013-09-10T15:27:21","modified_gmt":"2013-09-10T07:27:21","slug":"hdu-3092-least-common-multiple","status":"publish","type":"post","link":"https:\/\/www.shuizilong.com\/house\/archives\/hdu-3092-least-common-multiple\/","title":{"rendered":"HDU 3092. Least common multiple"},"content":{"rendered":"

Brief description: <\/h3>\n

…. \u5c06 n \u505a\u6574\u6570\u5206\u62c6\u3002\u3002\u4f7f\u5f97\u5206\u62c6\u51fa\u7684\u6570\u7684 lcm \u6700\u5927\u3002\u3002
\n<\/p>\n

Analysis: <\/h3>\n

dp[i][j] \u8868\u793a\u524d i \u4e2a\u7d20\u6570\u3002\u3002\u548c\u4e3a j \u7684 lcm \u7684\u6700\u5927\u503c\u3002\u3002
\n\u3002\u3002\u53d6\u5bf9\u6570\u540e\u80cc\u5305\u3002\u3002<\/p>\n

\r\nint mod;\r\n\r\nconst int PMAX = 3009;\r\nVI P; bitset<PMAX> isP;\r\nvoid sieve(){\r\n    FOR(i, 2, PMAX){\r\n        if (!isP[i]) P.PB(i);\r\n        for (int j=0;j<SZ(P)&&i*P[j]<PMAX;++j){\r\n            isP[i*P[j]]=1; if (!(i%P[j])) break;\r\n        }\r\n    }\r\n}\r\nconst int M = 3009;\r\nDB dp[M]; int dp_m[M];\r\nint m;\r\n\r\nint main(){\r\n\r\n#ifndef ONLINE_JUDGE\r\n    \/\/freopen("in.txt", "r", stdin);\r\n    \/\/freopen("out.txt", "w", stdout);\r\n#endif\r\n\r\n    sieve();\r\n\r\n    while (~scanf("%d%d", &m, &mod)){\r\n        fill(dp, dp+m+1, 0), fill(dp_m, dp_m+m+1, 1);\r\n        REP(i, SZ(P)){\r\n            if (P[i] > m) break;\r\n            DB p = log(P[i]); DWN_1(j, m, P[i]){\r\n                DB t = p; for (int T=P[i];T<=j;T*=P[i],t+=p) if (dp[j] < dp[j-T] + t){\r\n                    dp[j] = dp[j-T] + t;\r\n                    dp_m[j] = (dp_m[j-T]*T) % mod;\r\n                }\r\n            }\r\n        }\r\n\r\n        OT(dp_m[m]);\r\n    }\r\n}\r\n<\/pre>\n
http:\/\/acm.hust.edu.cn\/vjudge\/problem\/viewSource.action?id=1548068<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"
Brief description: …. \u5c06 n \u505a\u6574\u6570\u5206\u62c6\u3002\u3002\u4f7f\u5f97\u5206\u62c6\u51fa\u7684\u6570\u7684 lcm \u6700\u5927\u3002\u3002<\/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":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false}}},"categories":[19],"tags":[],"class_list":["post-823","post","type-post","status-publish","format-standard","hentry","category-poj"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p2tdP7-dh","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/823","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/comments?post=823"}],"version-history":[{"count":0,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/823\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/media?parent=823"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/categories?post=823"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/tags?post=823"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}