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 main(){

	long long int a,b,x,y;
	while(~scanf("%lld%lld",&a,&b)){
	x=a;
	y=b;
	while(a!=b){
		if(a>b){
			a-=b;
		}
		else{
			b-=a;
		}
	}
	printf("%lld %lld\n",a,x/a*y);
}	
return 0;
	}