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2 years ago
#include <bits/stdc++.h>
using namespace std;
int a, B, c, d;
/**
2/1+1/3-1/4
25/12
-2/1+1/3-1/4
-23/12
6
7/4+1/3+8/5-3/2-6/9-6/4-5/2+6/2+4/9-3/9-2/3+5/2-5/4+3/9-3/8-5/8+6/8+3/8-4/7-5/7-3/6+6/9-5/6-5/7-5/2
*/
int gcd(int x, int y) {
if (y == 0) return x;
return gcd(y, x % y);
}
int lcm(int x, int y) {
return x * y / gcd(x, y);
}
int main() {
//和我一起念scanf大法好!
scanf("%d/%d", &a, &b);
//不断读取后面的数字,这玩意居然还能读入负号,牛!
while (scanf("%d/%d", &c, &d) != EOF) {
//通分,分母取最小公倍
int e = lcm(b, d);
//分子乘啊乘啊乘
int f = e / b * a + e / d * c;
//求最大公约数,约分
int g = gcd(e, f);
a = f / g;
b = e / g;
}
//因为求负数最大公约最小公倍也是可以的但可能最终会出现1259/-360这样的情况
//如果这时,需要特判一下,写成:-1259/360
if (b < 0) a = -a, b = -b;
//如果分母是1就输出分子
if (b == 1) printf("%d\n", a);
else printf("%d/%d\n", a, b);
return 0;
}