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Length of the Subsequence
Easy Accuracy: 54.57% Submissions: 297 Points: 2

Given an array arr of positive integers of size N, the task is to find the length of the longest subsequence such that gcd of the subsequence is greater than one.

Input:
1. The first line of the input contains a single integer T denoting the number of test cases. The description of T test cases follows.
2. The first line of each test case contains a single integer N.
3. The next line contains N space-separated positive integers.

Output: For each test case, print the length of the subsequence
Constraints:
1. 1 <= T <= 5

2. 1 <= N <= 105
3. 2 <= arr[i] <= 105

Example:
Input:

2
2
2 9
5
2 3 4 5 6

Output:
1
3

Explanation:
Test Case 2:
Select the subsequence {2, 4, 6}, gcd is greater than 1 and longest possible subsequence

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