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Factorial and numbers
     

Given a number N. You are tasked with finding the smallest number S, such that N is a factor of S! (S factorial). N can be very large.

Input:
The first line of input contains an integer T denoting the number of test cases. Then T test cases follow. Each test case contains an integer n.

Output:
Print the smallest number, such that N is a factor of S!

Constraints:
1<=T<=100
1<=N<=10^12

Example:
Input:

2
6
800

Output:
3
10

**For More Examples Use Expected Output**


Contributor: Ayush Govil

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