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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 <= 10^{5}

3. 2 <= arr[i] <= 10^{5}

**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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Length of the Subsequence

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