Problem Description
Zhu and 772002 are both good at math. One day, Zhu wants to test the ability of 772002, so he asks 772002 to solve a math problem.
But 772002 has a appointment with his girl friend. So 772002 gives this problem to you.
There are n numbers a1,a2,...,an. The value of the prime factors of each number does not exceed 2000, you can choose at least one number and multiply them, then you can get a number b.
How many different ways of choices can make b is a perfect square number. The answer maybe too large, so you should output the answer modulo by 1000000007.
Input
First line is a positive integer T , represents there are T test cases.
For each test case:
First line includes a number n(1≤n≤300)，next line there are n numbers a1,a2,...,an,(1≤ai≤1018).
Output
For the i-th test case , first output Case #i: in a single line.
Then output the answer of i-th test case modulo by 1000000007.
Sample Input
2
3
3 3 4
3
2 2 2
Sample Output
Case #1:
3
Case #2:
3
http://www.cnblogs.com/Sunshine-tcf/p/5770718.html
整天发这些百度就能搜到的一大片的东西，你是智障吗？