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 <stdio.h>

int gcd(int a, int b){
	int t;
	while((a % b) != 0){
		t = b;
		b = a % b;
		a = t;
	}
	return b;
}

int main(){
	int a,b;
	int t;
	while(scanf("%d%d", &a, &b) != EOF){
		t = gcd(a,b);
		printf("%d %d\n", t, a/t*b);
	}
}