Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.

Constraints

* 0 < a, b ≤ 2,000,000,000
* LCM(a, b) ≤ 2,000,000,000
* The number of data sets ≤ 50

Input

Input consists of several data sets. Each data set contains a and b separated by a single space in a line. The input terminates with EOF.

Output

For each data set, print GCD and LCM separated by a single space in a line.

Example

Input

8 6
50000000 30000000


Output

2 24
10000000 150000000
#include <iostream>
int gcd(int a, int b) {
	return (a ? gcd(b % a, a) : b);
}
int main() {
	int a, b, x;
	while (std::cin >> a >> b) {
		x = gcd(a, b);
		std::cout << x << " " << a / x * b << std::endl;
	}
}