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 x, int y){
	if (y == 0)return x;
	return gcd(y, x%y);
}

int main(){
	int a, b;
	while (std::cin >> a >> b){
		int tmp = gcd(a, b);
		std::cout << tmp << " " << a / tmp*b << std::endl;
	}
	return 0;
}