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<stdio.h>

int main(void)
{
	int a, b;
	int m, n;
	int i;
	
	while(scanf("%d %d", &a, &b) != EOF){
		for(i = 1; i <= a; i++){
			if(a % i == 0 && b % i == 0){
				m = i;
			}
		}
		a = a / m;
		b = b / m;
		n = m * a * b;
		printf("%d %d\n", m, n);
	}
	return 0;
}