標籤:des style color java os io strong for
Calculation 2Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 2135 Accepted Submission(s): 898
Problem DescriptionGiven 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.
InputFor 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.
OutputFor each test case, you should print the sum module 1000000007 in a line.
Sample Input
340
Sample Output
02
#include <iostream>#include <cstdio>using namespace std;#define LL __int64LL eular(LL n) // 求歐拉函數{ LL i,res=n; for(i=2;i*i<=n;i++){if(n%i==0){res=res/i*(i-1);while(n%i==0)n/=i;}}if(n>1)res=res/n*(n-1);return res;}int main(){ LL n; while(scanf("%I64d",&n)&&n!=0) { if(n==1) { printf("0\n"); continue; } LL k=eular(n);//printf("%I64d\n",k); // n的歐拉函數值//printf("%I64d\n",n*k/2); // 小於n 且與n互質的數 之和 printf("%I64d\n",((n-1)*n/2-n*k/2)%1000000007); //小於n 且與n不互質的數 之和 } return 0;}