# Sum Sum Sum

Time Limit: 2000/1000 MS (Java/Others)

Memory Limit: 32768/32768 K (Java/Others)

## 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 $N(1\leq N\leq 1000)$. 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

heyang

## Source

BestCoder Round #24