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(void)
{
	long int a,s,d,f,g,h,i,j;
	while(scanf("%ld %ld",&a,&s)!=EOF){
		g=0;
		g=a*s;
		if(a<s){
			d=a;
			a=s;
			s=d;
		}
		d=a%s;
		while(d!=0){
			a=s;
			s=d;
			d=a%s;
		}
		printf("%ld %ld\n",s,g/s);
	}
	return 0;
}