辗除法求最大公约数与最小公倍数(java代码)

时间:2022-05-26 11:49:37
import java.util.Scanner;

public class Test32 {

public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int m = sc.nextInt();
int n = sc.nextInt();
System.out.println("最大公约数:" + gongyue(m, n));
System.out.println("最小公倍数:" + gongbei(m, n));

}

public static int gongyue(int m, int n) {
if (m % n == 0)
return n;
if (n % m == 0)
return m;
if (m >= n) {
while (m % n != 0) {
int t = m % n;
m = n;
n = t;
}
return n;
} else {
while (n % m != 0) {
int t = n % m;
n = m;
m = t;
}
return m;
}
}


public static int gongbei(int m, int n) {
return m * n / gongyue(m, n);
}
}