题意：

给你一个格式为hh:mm:ss的时间，问：该时间时针与分针、时针与秒针、分针与秒针之间夹角的度数是多少。

若夹角度数不是整数，则输出最简分数形式A/B，即A与B互质。

解析：

先计算出总的秒数 S=hh∗3600+mm∗60+ss

1. 由于秒钟每秒走1°，

   所以当前时间，秒钟与12点的度数为 S%360

2. 由于分针每秒走 0.1°，

   既然已经计算出总秒数，那么当前时间，分针与12点的度数为 S/10%360

3. 由于时针每秒走(1/120)°。那么当前时间。时针与12点的度数为 S/120%360

然后计算出几个角度之间的绝对值。

又由于题目要求的是劣角，所以推断一下当前求出的角度的绝对值是否大于180°。

假设大于180°，就把当前角度减去180°。

注意：

每行末尾另一个空格，没有输出会PE。

my code

#include 
      
       #include 
       
        #include 
        
         using namespace std;typedef __int64 type;struct Frac {    type a, b;    Frac() {a = 0; b = 1;}    Frac(type a) {
     this->a = a; b = 1; }    Frac(type a, type b) {
     this->a = a; this->b = b; deal();}    void init() {a = 0; b = 1;}    type gcd(type a, type b) {        while (b) {            type tmp = a % b;            a = b;            b = tmp;        }        return a;    }    void deal() {        type d = gcd(a, b);        a /= d; b /= d;        if (b < 0) {            a = -a;            b = -b;        }    }    Frac operator + (Frac c) {        Frac ans;        ans.a = a * c.b + b * c.a;        ans.b = b * c.b;        ans.deal();        return ans;    }    Frac operator - (Frac c) {        Frac ans;        ans.a = a * c.b - b * c.a;        ans.b = b * c.b;        ans.deal();        return ans;    }    Frac operator * (Frac c) {        Frac ans;        ans.a = a * c.a;        ans.b = b * c.b;        ans.deal();        return ans;    }    Frac operator / (Frac c) {        Frac ans;        ans.a = a * c.b;        ans.b = b * c.a;        ans.deal();        return ans;    }    Frac operator % (Frac c) {        Frac ans;        ans.b = b * c.b;        ans.a = a * c.b % (c.a * b);        ans.deal();        return ans;    }    void absolute() {        if (a < 0) a = -a;        if (b < 0) b = -b;    }    void operator += (Frac c) {*this = *this + c;}    void operator -= (Frac c) {*this = *this - c;}    void operator *= (Frac c) {*this = *this * c;}    void operator /= (Frac c) {*this = *this / c;}    bool operator > (Frac c) {
     return a * c.b > b * c.a;}    bool operator == (Frac c) { return a * c.b == b * c.a;}    bool operator < (Frac c) {
     return !(*this < c && *this == c);}    bool operator >= (Frac c) {
     return !(*this < c);}    bool operator <= (Frac c) {
     return !(*this > c);}    bool operator != (Frac c) {
     return !(*this == c);}    bool operator != (type c) {
     return *this != Frac(c, 1);}    void operator = (type c) {
     this->a = c; this->b = 1;}    void put() {        if (a == 0) printf("0");        else {            if (b == 1) printf("%I64d", a);            else printf("%I64d/%I64d", a, b);        }    }};int t;type hh, mm, ss;int main() {    scanf("%d", &t);    while (t--) {        scanf("%I64d:%I64d:%I64d", &hh, &mm, &ss);        type S = hh * 3600 + mm * 60 + ss;        Frac s = Frac((S * 6) % 360);        Frac m = Frac(S, 10);        Frac h = Frac(S, 120);        m = m % Frac(360);        h = h % Frac(360);        Frac a1 = (h - m);        Frac a2 = (h - s);        Frac a3 = (m - s);        a1.absolute(); a2.absolute(); a3.absolute();        if (a1 > Frac(180)) a1 = Frac(360) - a1;        if (a2 > Frac(180)) a2 = Frac(360) - a2;        if (a3 > Frac(180)) a3 = Frac(360) - a3;        a1.put(); printf(" ");        a2.put(); printf(" ");        a3.put(); printf(" \n");    }    return 0;}