Mathematical manipulation
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  Difficulty: Medium   Marks: 4

Given a number N, find the total numbers, less than or equal to N which have at-least one common factor with N other than 1.

Input:
The first line of input contains an integer T denoting the no of test cases. Then T test cases follow. Each test case consist of an integer N.

Output:
For each test case output an integer denoting the count of numbers, less than or equal to N having at-least one common factor between the number and N except 1.

Constraints:
1<=T<=100000
1<=N<=1000000

Example:
Input:

3
1
6
15

Output:
0
4
7

Explanation:
For N=1, there are no numbers satisfying the condition.
For N=6, the 4 numbers having a common factor between them and 6 are : 2, 3, 4 & 6
For N=15, the 7 numbers having a common factor between them and 15 are : 3, 5, 6, 9, 10, 12, 15

** For More Input/Output Examples Use 'Expected Output' option **

Contributor: Deepayan Bardhan
Author: whiteman


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