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(long long a, long long b) {
	if (b == 0) return a;
	return gcd(b, a % b);
}
int main() {
	long long a, b;

	while (cin >> a >> b) {
		cout << gcd(a, b) << " " << a * b / gcd(a, b) << endl;
	}
}
