{"id":391,"date":"2013-04-22T13:58:41","date_gmt":"2013-04-22T05:58:41","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/?p=391"},"modified":"2013-04-22T13:58:41","modified_gmt":"2013-04-22T05:58:41","slug":"la5916","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=391","title":{"rendered":"LA 5916(GCD Guessing Game-\u8d28\u6570\u5206\u7ec4)"},"content":{"rendered":"

\u73b0\u5728\u6709\u4e00\u4e2a\u6570x\uff0c1 ≤ x≤ n\uff0c\u544a\u8bc9\u4f60n\uff0c\u6bcf\u6b21\u4f60\u53ef\u4ee5\u731c\u4e00\u4e2a\u6570y\uff0c\u5982\u679cx==y\u5219\u7ed3\u675f\uff0c\u5426\u5219\u8fd4\u56degcd(x,y)\uff0c\u95ee\u6700\u5c11\u53ea\u8981\u51e0\u6b21\u5c31\u53ef\u4ee5\u4fdd\u8bc1\u731c\u51fa\u7b54\u6848\u3002<\/span><\/p>\n

Input <\/span><\/h2>\n

The input file contains several test cases, each of them as described below.<\/span><\/p>\n

The input contains one integer n<\/span><\/span>, 2\"$n<\/span>\"$10000<\/span>.<\/p>\n

Output<\/span><\/h2>\n

For each test case, write to the output on a line by itself.<\/span><\/p>\n

Output one integer -- the number of guesses Andrew will need to make in the worst case.<\/p>\n

 <\/h2>\n

Sample Input<\/span><\/h2>\n
6<\/pre>\n
 <\/span><\/p>\n
Sample Output<\/span><\/span><\/p>\n
2<\/pre>\n
\u9996\u5148\u628a\u6240\u6709n\u4ee5\u5185\u7d20\u5206\u7ec4\uff0c\u6bcf\u6b21\u8be2\u95ee\u4e00\u7ec4\u7d20\u6570\u7684\u79ef\u2014\u2014\u6839\u636eGcd\u7684\u6027\u8d28\u786e\u5b9a\u8fd9\u4e2a\u6570<\/span><\/p>\n
\u6bcf\u6b21\u8d2a\u5fc3\u62ff\u4e00\u4e2a\u5927\u8d28\u6570\u4e0e\u4e00\u5806\u5c0f\u8d28\u6570\u914d\uff08\u6700\u53f3*\u6700\u5de6\uff09<\/span><\/p>\n
 <\/span><\/p>\n
#include
\n#include
\n#include
\n#include
\n#include
\n#include
\n#include
\nusing namespace std;
\n#define MAXN (10000)
\n#define eps (1e-9)
\n#define For(i,n) for(int i=1;i< =n;i++)\n#define ForD(i,n) for(int i=n;i;i--)\n#define Fork(i,k,n) for(int i=k;i<=n;i++)\nint n,a[MAXN],size=0;\nbool b[MAXN];\nint main()\n{\n memset(b,0,sizeof(b));b[1]=1;\n Fork(i,2,MAXN)\n {\n if (!b[i]) b[i]=1,a[++size]=i;\n For(j,size)\n {\n if (i*a[j]>MAXN) break;
\n b[i*a[j]]=1;
\n if (!i%a[j]) break;
\n }
\n }
\n\/\/ For(i,100) cout< >n)
\n {
\n int i=0,head=1,tail=size;
\n while (a[tail]>n) tail--;
\n while (head< =tail)\n {\n int p=a[tail];\n while (p*a[head]<=n) p*=a[head++];\n tail--;i++;\n }\n cout<<\/p>\n
 <\/cmath><\/cstdlib><\/iostream><\/functional><\/algorithm><\/cstring><\/cstdio><\/code><\/p>\n","protected":false},"excerpt":{"rendered":"
\u73b0\u5728\u6709\u4e00\u4e2a\u6570x\uff0c1 ≤ x≤ n\uff0c\u544a\u8bc9\u4f60n\uff0c\u6bcf\u6b21\u4f60\u53ef\u4ee5\u731c\u4e00\u4e2a\u6570y\uff0c\u5982\u679cx==y\u5219\u7ed3\u675f\uff0c\u5426\u5219\u8fd4\u56degc […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","footnotes":""},"categories":[4,12],"tags":[33,118],"class_list":["post-391","post","type-post","status-publish","format-standard","hentry","category-informatics","category-algorithm","tag-gcd","tag-greedy"],"yoast_head":"\nLA 5916(GCD Guessing Game-\u8d28\u6570\u5206\u7ec4) - nike0good<\/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:\/\/nike0good.com\/?p=391\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"LA 5916(GCD Guessing Game-\u8d28\u6570\u5206\u7ec4) - 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