POJ2407---Relatives(求单个数的欧拉函数)

Description
Given n, a positive integer, how many positive integers less than n are relatively prime to n? Two integers a and b are relatively prime if there are no integers x > 1, y > 0, z > 0 such that a = xy and b = xz.

Input
There are several test cases. For each test case, standard input contains a line with n <= 1,000,000,000. A line containing 0 follows the last case.

Output
For each test case there should be single line of output answering the question posed above.

Sample Input

7
12
0

Sample Output

6
4

Source
Waterloo local 2002.07.01

求单个数的欧拉函数

/************************************************************************* > File Name: POJ2407.cpp > Author: ALex > Mail: [email protected] > Created Time: 2015年06月04日 星期四 18时18分05秒 ************************************************************************/

#include <functional>
#include <algorithm>
#include <iostream>
#include <fstream>
#include <cstring>
#include <cstdio>
#include <cmath>
#include <cstdlib>
#include <queue>
#include <stack>
#include <map>
#include <bitset>
#include <set>
#include <vector>

using namespace std;

const double pi = acos(-1.0);
const int inf = 0x3f3f3f3f;
const double eps = 1e-15;
typedef long long LL;
typedef pair <int, int> PLL;

int getphi(int n) {
    int ans = n;
    for (int i = 2; i * i <= n; ++i) {
        if (n % i == 0) {
            ans -= ans / i;
            while (n % i == 0) {
                n /= i;
            }
        }
    }
    if (n > 1) {
        ans -= ans / n;
    }
    return ans;
}

int main() {
    int n;
    while (~scanf("%d", &n), n) {
        printf("%d\n", getphi(n));
    }
    return 0;
}