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;

template <typename T>
T gcd(T a , T b){
	if (b==0) return a;
	return gcd(b , a%b);
}

int main(){
	int a , b ;
	while(cin>>a>>b){
		printf("%d %d\n" , gcd(a,b) , (a/gcd(a, b)*b));
	}
	return 0;
}