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;

long gcd(long a, long b)
{
	return(b?gcd(b,a%b):a);
}

int main(void)
{
	long long x,y;
	while(cin >> x >> y){
	cout << gcd(x,y) << " " << x*y/gcd(x,y)<< endl;
	}
	return(0);
}