第七章数学 4 AcWing 1578. 有理数运算-蒲公英云

第七章数学 4 AcWing 1578. 有理数运算

小鱼儿 2024-03-31 10:20 190阅读 0赞

第七章数学 4 AcWing 1578. 有理数运算

原题链接

AcWing 1578. 有理数运算

算法标签

数学模拟

思路

依题意模拟

代码

#pragma GCC optimize(2)
#pragma GCC optimize(3)
#include<bits/stdc++.h>
#define int long long
#define x first
#define y second
#define ump unordered_map
#define ums unordered_set
#define pq priority_queue
#define rep(i, a, b) for(int i=a;i<b;++i)
#define Rep(i, a, b) for(int i=a;i>=b;--i)
using namespace std;
typedef pair<int, int> PII;
const int N=10005, INF=0x3f3f3f3f3f3f3f3f;
const double Exp=1e-8;
//int t, n, m, cnt, ans;
int a, b, c, d;
inline int rd(){
   int s=0,w=1;
   char ch=getchar();
   while(ch<'0'||ch>'9'){if(ch=='-')w=-1;ch=getchar();}
   while(ch>='0'&&ch<='9') s=s*10+ch-'0',ch=getchar();
   return s*w;
}
void put(int x) {
    if(x<0) putchar('-'),x=-x;
    if(x>=10) put(x/10);
    putchar(x%10^48);
}
void print(int a, int b) {
    int t=__gcd(a, b);
    a/=t, b/=t;
    if(b<0){
        a*=-1, b*=-1; 
    }
    if(a<0){
        printf("(");
        if(abs(a)>=b){
            if(b==1){
                printf("%lld", a);
            }else{
                printf("%lld", a/b);
                if(abs(a)%b){
                    printf(" %lld/%lld", abs(a-a/b*b), b);
                }   
            }
        }else{
            printf("%lld/%lld", a, b);
        }
        printf(")");
    }else{
        if(abs(a)>=b){
            if(b==1){
                printf("%lld", a);
            }else{
                printf("%lld", a/b);
                if(abs(a)%b){
                    printf(" %lld/%lld", a-a/b*b, b);
                }else{
                    printf("%lld/%lld", a, b);
                }
            }
        }else{
            if(a){
                printf("%lld/%lld", a, b);
            }else{
                printf("0");
            }
        }
    }
}
void add(int a, int b, int c, int d) {
    print(a, b), printf(" + "), print(c, d);
    a=a*d+c*b;
    b*=d;
    printf(" = "), print(a, b);
    puts("");
}
void sub(int a, int b, int c, int d) {
    print(a, b), printf(" - "), print(c, d);
    a=a*d-c*b;
    b*=d;
    printf(" = "), print(a, b);
    puts("");
}
void mul(int a, int b, int c, int d) {
    print(a, b), printf(" * "), print(c, d);
    a*=c;
    b*=d;
    printf(" = "), print(a, b);
    puts("");
}
void div(int a, int b, int c, int d) {
    print(a, b), printf(" / "), print(c, d);
    a*=d;
    b*=c;
    printf(" = ");
    if(!b||!d){
        printf("Inf");
    }else{
        print(a, b);    
    }
    puts("");
}
signed main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    scanf("%lld/%lld%lld/%lld", &a, &b, &c, &d);    
    add(a, b, c, d);
    sub(a, b, c, d);
    mul(a, b, c, d);
    div(a, b, c, d);
    return 0;
}