首页 > 代码库 > HDU——T3501 Calculation 2

HDU——T3501 Calculation 2

http://acm.hdu.edu.cn/showproblem.php?pid=3501

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 4548    Accepted Submission(s): 1878


Problem Description
Given a positive integer N, your task is to calculate the sum of the positive integers less than N which are not coprime to N. A is said to be coprime to B if A, B share no common positive divisors except 1.
 

 

Input
For each test case, there is a line containing a positive integer N(1 ≤ N ≤ 1000000000). A line containing a single 0 follows the last test case.
 

 

Output
For each test case, you should print the sum module 1000000007 in a line.
 

 

Sample Input
340
 

 

Sample Output
02
 

 

Author
GTmac
 
Source
2010 ACM-ICPC Multi-University Training Contest(7)——Host by HIT
 
欧拉函数得和==phi(n)*n/2;
md 还是见识少。。
 1 #include <algorithm> 2 #include <cstdio> 3  4 using namespace std; 5  6 #define LL long long 7 const LL mod(1000000007); 8 const LL N(1000000000+5); 9 LL x;10 11 LL phi(LL x)12 {13     LL ret=1;14     for(LL i=2;i*i<=x;i++)15         if(x%i==0)16         {17             x/=i;18             ret*=i-1;19             for(;x%i==0;)20                 ret*=i,x/=i;21         }22     if(x>1) ret*=x-1;23     return ret;24 }25 26 int main()27 {28     for(;scanf("%lld",&x)&&x;)29     {30         LL zz=(x-1)*x>>1;31         printf("%lld\n",(zz-(x*phi(x)>>1))%mod);32     }33     return 0;34 }

 

HDU——T3501 Calculation 2