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>

using namespace std;

int main()
{
	
	int a, b, c = 0;
	while (cin >> a, cin >> b)
	{
		for (int i = 1; i <= a, i <= b; i++)
		{
			if (a % i == 0 && b % i == 0)
			{
				c = i;
			}
		}
		cout << c << " " << a*b / c << endl;
	}
	return 0;
}