Sum Sum Sum

Problem Description
We call a positive number X P-number if there is not a positive number that is less than X and the greatest common divisor of these two numbers is bigger than 1.
Now you are given a sequence of integers. You task is to calculate the sum of P-numbers of the sequence.

Input
There are several test cases.
In each test case:
The first line contains a integer N(1≤N≤1000). The second line contains N integers. Each integer is between 1 and 1000.

Output
For each test case, output the sum of P-numbers of the sequence.

Sample Input
3
5 6 7
1
10

Sample Output
12
0