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<iostream>
#include<cstdio>
using namespace std;

long long gcd(long long x,long long y){
	return (y==0?x:gcd(y,x%y));
}

int main(){
	long long a,b;
	while(scanf("%lld%lld",&a,&b)!=EOF){
		printf("%lld %lld\n",gcd(a,b),a/gcd(a,b)*b);
	}
	return 0;
} 