A15627 | Hossam and Trainees

Hossam has $n$ trainees. He assigned a number $a_i$ for the $i$ -th trainee.

A pair of the $i$ -th and $j$ -th ( $i \neq j$ ) trainees is called successful if there is an integer $x$ ( $x \geq 2$ ), such that $x$ divides $a_i$ , and $x$ divides $a_j$ .

Hossam wants to know if there is a successful pair of trainees.

Hossam is very tired now, so he asks you for your help!

The input consists of multiple test cases. The first line contains a single integer $t$ ( $1 \le t \le 10^5$ ), the number of test cases. Description of the test cases follows.

The first line of each test case contains an integer number $n$ ( $2 \le n \le 10^5$ ).

The second line of each test case contains $n$ integers, the number of each trainee $a_1, a_2, \dots, a_n$ ( $1 \le a_i \le 10^9$ ).

It is guaranteed that the sum of $n$ over all test cases does not exceed $10^5$ .

Print the answer — "YES" (without quotes) if there is a successful pair of trainees and "NO" otherwise. You can print each letter in any case.