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>
long long gcd(long long a,long long b){
	return b?gcd(b,a%b):a;
}
int main(void){
	long long  a,b;
	while(scanf("%lld",&a)==1&&scanf("%lld",&b)==1){
		long long temp=gcd(a,b);
		printf("%lld %lld\n",temp,a/temp*b);
	}
	return 0;
}