A16413. Two Divisors

A certain number $1 \le x \le 10^9$ is chosen. You are given two integers $a$ and $b$ , which are the two largest divisors of the number $x$ . At the same time, the condition $1 \le a < b < x$ is satisfied.

For the given numbers $a$ , $b$ , you need to find the value of $x$ .

$^{\dagger}$ The number $y$ is a divisor of the number $x$ if there is an integer $k$ such that $x = y \cdot k$ .

Each test consists of several test cases. The first line contains a single integer $t$ ( $1 \le t \le 10^4$ ) — the number of test cases. Then follows the description of the test cases.

The only line of each test cases contains two integers $a$ , $b$ ( $1 \le a < b \le 10^9$ ).

It is guaranteed that $a$ , $b$ are the two largest divisors for some number $1 \le x \le 10^9$ .

For each test case, output the number $x$ , such that $a$ and $b$ are the two largest divisors of the number $x$ .

If there are several answers, print any of them.

For the first test case, all divisors less than $6$ are equal to $[1, 2, 3]$ , among them the two largest will be $2$ and $3$ .

For the third test case, all divisors less than $33$ are equal to $[1, 3, 11]$ , among them the two largest will be $3$ and $11$ .

For the fifth test case, all divisors less than $20$ are equal to $[1, 2, 4, 5, 10]$ , among them the two largest will be $5$ and $10$ .

For the sixth test case, all divisors less than $12$ are equal to $[1, 2, 3, 4, 6]$ , among them the two largest will be $4$ and $6$ .