求小于n的互素的个数

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.



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.



For each test case there should be single line of output answering the question posed above.-for each other less than n-n Given the number, a positive integer, how many positive integers less than n are relat ively to prime n Two integers a and b are relative ly prime if there are no integers x