Common divisors and multiples

Task

You are given $t$ pairs of positive integers. Find for each pair the greatest common divisor (gcd) and the least common multiple (lcm).

We define the greatest common divisor (gcd) of a pair $(a, b)$ as the largest integer that is a divisor of both $a$ and $b$. We will note this as $x = (a, b)$.

We define the least common multiple (lcm) of a pair $(a, b)$ as the smallest integer that is a multiple of both $a$ and $b$. We will note this as $x = [a, b]$.

Input data

The first line of the input will contain $t$, the number of test cases. The following $t$ lines will contain the two values from each pair, $a$ and $b$.

Output data

Each of the $t$ lines will have two numbers, representing the gcd and the lcm of the two numbers.

Constraints and clarifications

• $1 \leq t \leq 10^5$
• $1 \leq a, b \leq 10^9$
• For tests worth $40$ points, $1 \leq a, b \leq 10^5$.

Example

stdin

5
14 8
55 33
63 94
39 27
24 54

stdout

2 56
11 165
1 5922
3 351
6 216

Explanation

$(14, 8) = 2$, $[14, 8] = 56$, etc.