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>
using namespace std;

int gcd(int a, int b){
	return (b>0)? gcd(b, a%b) : a;
}
int lcm(int a, int b){
	return a / gcd(a, b) * b;
}

int main(){
	int a,b,n,m;
	
	while( cin >> a >> b ){
		cout << gcd(a,b) << " " << lcm(a,b) << endl;
	}
}