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 r=a%b;
	if(r==0) return b;
	return GCD(b,r);
}
int main(){
	int a,b,g,l;
	while(scanf("%d%d",&a,&b)!=EOF){
		g = GCD(a,b);
		l = (a/g)*b;
		printf("%d %d\n",g,l);
	}
	return 0;
}