50226. Four Gears

#include <stdio.h>
#include <string.h>
#include <stdlib.h>
#include <stdint.h>

static inline int max(int a, int b){
    return a > b ? a : b;
}

int gcd(int a, int b){
    while(b){
        int t = a % b;
        a = b;
        b = t;
    }
    return a;
}

int lcm(int a, int b){
    return a * b / gcd(a, b);
}

int main(){
    int a, b, c, d;
    while(scanf("%d %d %d %d", &a, &b, &c, &d) != EOF){
        int ans = a;
        ans = lcm(ans, b);
        ans = lcm(ans, c);
        ans = lcm(ans, d);
        printf("%d\n", ans / max(max(a, b), max(c, d)));
    }
}