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>

using namespace std;

int main()
{
	int a, b;
	while(scanf("%d%d", &a, &b) != EOF){
		int sa = a, sb = b;
		int c;
		while(b){
			c = a % b;
			a = b;
			b = c;
		}
		printf("%d %d\n", a, sa / a * sb);
	}
	return 0;
}