LCM Walk

题目链接：https://vjudge.net/contest/362170#problem/F

题目大意：

告诉你终点是(ex,ey) ，问你可能的起点的个数 ( 如果起点是(x,y) 那么你去的下一个点是 (x+z,y) 或者 (x,y+z)  z = lcm(x,y) )

想法：

参考博客：https://blog.csdn.net/yuzhiwei1995/article/details/51100389

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

int main() {
    int T;
    scanf("%d",&T);
    int t = 1;
    while (T--) {
        LL a,b;
        scanf("%lld%lld",&a,&b);
        LL GCD = gcd(a,b);
        LL m1 = a / GCD;
        LL m2 = b / GCD;
        LL ans = 1;
        while (1) {
            if (m1 < m2)
                swap(m1,m2);
            if (m1 % (1 + m2) == 0) {
                m1 = m1 / (1 + m2);
                ans++;
            }
            else
                break;
        }
        printf("Case #%d: %lld\n",t++,ans);
    }
    return 0;
}