1448: Relatives

内存限制:128 MB 时间限制:1.000 S
评测方式:文本比较 命题人:
提交:5 解决:3

题目描述

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.

输入

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.

输出

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

样例输入 复制

7
12
0

样例输出 复制

6
4

提示

练习赛9-E