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(){
	int a, b, c, i, j, gcd, lcm;
	while(scanf("%d %d", &a, &b) != EOF){
		gcd = 0, lcm = 0;
		if(a > b){
			c = a;
			a = b;
			b = c;
		}
		for(i = 1; i <= a; i++){
			if(a % i == 0 && b % i == 0){
				gcd = i;
			}
		}
		i = a;
		while(lcm == 0){
			if(i >= a && i >= b){
				if(i % a == 0 && i % b == 0){
					lcm = i;
				}
			}
			i++;
		}
		printf("%ld %ld\n", gcd, lcm);
	}
	return 0;
}