Problem:
GCD and LCM

Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.

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.

Constraints

0 < a, b ≤ 2,000,000,000

LCM(a, b) ≤ 2,000,000,000

The number of data sets ≤ 50

Output

For each data set, print GCD and LCM separated by a single space in a line.

Sample Input

8 6
50000000 30000000

Output for the Sample Input

2 24
10000000 150000000

Solution in C++ (judge verdict: Time Limit Exceeded)

#include <iostream>
#include <fstream>
#include <cstdio>
#include <math.h>
#include <limits>
using namespace std;

int main() {
	long long x;
	long long y;
	long long g;
	while (scanf("%I64d %I64d", &x, &y)) {
		g=x*y;
		while (x*y!=0) {
			if (x>y) {
				x=x%y;
			}
			else {
				y=y%x;
			}
		}
		if (x==0) {
			x=y;
		}
		cout << g/x << " " << x << "\n";
	}
	return 0;
}