【PAT甲级】1088 Rational Arithmetic (20 分)
题意：
输入两个分数（分子分母各为一个整数中间用'/'分隔），输出它们的四则运算表达式。小数需要用"("和")"括起来，分母为0的话输出"Inf"（输入的分母保证不为0）。
trick：
测试点2很容易溢出，建议遇到乘法时先化简分数并且不要用相乘小于零来判断异号。
AAAAAccepted code：
#define HAVE_STRUCT_TIMESPEC
#include<bits/stdc++.h>
using namespace std;
int main(){
ios::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
long long a,b,c,d;
cin>>a;
cin.ignore();
cin>>b>>c;
cin.ignore();
cin>>d;
long long x=1e9,y=1e9;
if(a%b==)
x=a/b;
if(c%d==)
y=c/d;
long long gcd=__gcd(a,b);
a/=gcd;
b/=gcd;
gcd=__gcd(c,d);
c/=gcd;
d/=gcd;
if(x<1e9){
if(x<)
cout<<"("<<x<<")";
else
cout<<x;
}
else{
long long ta=a,tb=b;
if(ta<&&tb>||ta>&&tb<){
if(ta<)
ta=-ta;
if(tb<)
tb=-tb;
long long yushu=;
if(ta>tb){
yushu=ta/tb;
ta-=yushu*tb;
}
cout<<"(-";
if(yushu)
cout<<yushu<<" ";
cout<<ta<<"/"<<tb<<")";
}
else{
long long yushu=;
if(ta>tb){
yushu=ta/tb;
ta-=yushu*tb;
}
if(yushu)
cout<<yushu<<" ";
cout<<ta<<"/"<<tb;
}
}
cout<<" + ";
if(y<1e9){
if(y<)
cout<<"("<<y<<")";
else
cout<<y;
}
else{
long long ta=c,tb=d;
if(ta<&&tb>||ta>&&tb<){
if(ta<)
ta=-ta;
if(tb<)
tb=-tb;
long long yushu=;
if(ta>tb){
yushu=ta/tb;
ta-=yushu*tb;
}
cout<<"(-";
if(yushu)
cout<<yushu<<" ";
cout<<ta<<"/"<<tb<<")";
}
else{
long long yushu=;
if(ta>tb){
yushu=ta/tb;
ta-=yushu*tb;
}
if(yushu)
cout<<yushu<<" ";
cout<<ta<<"/"<<tb;
}
}
cout<<" = ";
long long cd=b*d;
long long ab=a*d+c*b;
if(ab%cd==){
long long z=ab/cd;
if(z<)
cout<<"("<<z<<")";
else
cout<<z;
}
else if(ab<&&cd>||ab>&&cd<){
if(ab<)
ab=-ab;
if(cd<)
cd=-cd;
long long yushu=;
if(ab>cd){
yushu=ab/cd;
ab-=yushu*cd;
}
long long gcd=__gcd(ab,cd);
ab/=gcd;
cd/=gcd;
cout<<"(-";
if(yushu)
cout<<yushu<<" ";
cout<<ab<<"/"<<cd<<")";
}
else{
long long yushu=;
if(ab>cd){
yushu=ab/cd;
ab-=yushu*cd;
}
long long gcd=__gcd(ab,cd);
ab/=gcd;
cd/=gcd;
if(yushu)
cout<<yushu<<" ";
cout<<ab<<"/"<<cd;
}
cout<<"\n";
//加减法分割线-------------
if(x<1e9){
if(x<)
cout<<"("<<x<<")";
else
cout<<x;
}
else{
long long ta=a,tb=b;
if(ta<&&tb>||ta>&&tb<){
if(ta<)
ta=-ta;
if(tb<)
tb=-tb;
long long yushu=;
if(ta>tb){
yushu=ta/tb;
ta-=yushu*tb;
}
cout<<"(-";
if(yushu)
cout<<yushu<<" ";
cout<<ta<<"/"<<tb<<")";
}
else{
long long yushu=;
if(ta>tb){
yushu=ta/tb;
ta-=yushu*tb;
}
if(yushu)
cout<<yushu<<" ";
cout<<ta<<"/"<<tb;
}
}
cout<<" - ";
if(y<1e9){
if(y<)
cout<<"("<<y<<")";
else
cout<<y;
}
else{
long long ta=c,tb=d;
if(ta<&&tb>||ta>&&tb<){
if(ta<)
ta=-ta;
if(tb<)
tb=-tb;
long long yushu=;
if(ta>tb){
yushu=ta/tb;
ta-=yushu*tb;
}
cout<<"(-";
if(yushu)
cout<<yushu<<" ";
cout<<ta<<"/"<<tb<<")";
}
else{
long long yushu=;
if(ta>tb){
yushu=ta/tb;
ta-=yushu*tb;
}
if(yushu)
cout<<yushu<<" ";
cout<<ta<<"/"<<tb;
}
}
cout<<" = ";
cd=b*d;
ab=a*d-c*b;
if(ab%cd==){
long long z=ab/cd;
if(z<)
cout<<"("<<z<<")";
else
cout<<z;
}
else if(ab<&&cd>||ab>&&cd<){
if(ab<)
ab=-ab;
if(cd<)
cd=-cd;
long long yushu=;
if(ab>cd){
yushu=ab/cd;
ab-=yushu*cd;
}
long long gcd=__gcd(ab,cd);
ab/=gcd;
cd/=gcd;
cout<<"(-";
if(yushu)
cout<<yushu<<" ";
cout<<ab<<"/"<<cd<<")";
}
else{
long long yushu=;
if(ab>cd){
yushu=ab/cd;
ab-=yushu*cd;
}
long long gcd=__gcd(ab,cd);
ab/=gcd;
cd/=gcd;
if(yushu)
cout<<yushu<<" ";
cout<<ab<<"/"<<cd;
}
cout<<"\n";
//减法和乘除法分隔线-------------
if(x<1e9){
if(x<)
cout<<"("<<x<<")";
else
cout<<x;
}
else{
long long ta=a,tb=b;
if(ta<&&tb>||ta>&&tb<){
if(ta<)
ta=-ta;
if(tb<)
tb=-tb;
long long yushu=;
if(ta>tb){
yushu=ta/tb;
ta-=yushu*tb;
}
cout<<"(-";
if(yushu)
cout<<yushu<<" ";
cout<<ta<<"/"<<tb<<")";
}
else{
long long yushu=;
if(ta>tb){
yushu=ta/tb;
ta-=yushu*tb;
}
if(yushu)
cout<<yushu<<" ";
cout<<ta<<"/"<<tb;
}
}
cout<<" * ";
if(y<1e9){
if(y<)
cout<<"("<<y<<")";
else
cout<<y;
}
else{
long long ta=c,tb=d;
if(ta<&&tb>||ta>&&tb<){
if(ta<)
ta=-ta;
if(tb<)
tb=-tb;
long long yushu=;
if(ta>tb){
yushu=ta/tb;
ta-=yushu*tb;
}
cout<<"(-";
if(yushu)
cout<<yushu<<" ";
cout<<ta<<"/"<<tb<<")";
}
else{
long long yushu=;
if(ta>tb){
yushu=ta/tb;
ta-=yushu*tb;
}
if(yushu)
cout<<yushu<<" ";
cout<<ta<<"/"<<tb;
}
}
cout<<" = ";
cd=b*d;
ab=a*c;
if(ab%cd==){
long long z=ab/cd;
if(z<)
cout<<"("<<z<<")";
else
cout<<z;
}
else if(ab<&&cd>||ab>&&cd<){
if(ab<)
ab=-ab;
if(cd<)
cd=-cd;
long long yushu=;
if(ab>cd){
yushu=ab/cd;
ab-=yushu*cd;
}
long long gcd=__gcd(ab,cd);
ab/=gcd;
cd/=gcd;
cout<<"(-";
if(yushu)
cout<<yushu<<" ";
cout<<ab<<"/"<<cd<<")";
}
else{
long long yushu=;
if(ab>cd){
yushu=ab/cd;
ab-=yushu*cd;
}
long long gcd=__gcd(ab,cd);
ab/=gcd;
cd/=gcd;
if(yushu)
cout<<yushu<<" ";
cout<<ab<<"/"<<cd;
}
cout<<"\n";
//乘除法分隔线-------------
if(x<1e9){
if(x<)
cout<<"("<<x<<")";
else
cout<<x;
}
else{
long long ta=a,tb=b;
if(ta<&&tb>||ta>&&tb<){
if(ta<)
ta=-ta;
if(tb<)
tb=-tb;
long long yushu=;
if(ta>tb){
yushu=ta/tb;
ta-=yushu*tb;
}
cout<<"(-";
if(yushu)
cout<<yushu<<" ";
cout<<ta<<"/"<<tb<<")";
}
else{
long long yushu=;
if(ta>tb){
yushu=ta/tb;
ta-=yushu*tb;
}
if(yushu)
cout<<yushu<<" ";
cout<<ta<<"/"<<tb;
}
}
cout<<" / ";
if(y<1e9){
if(y<)
cout<<"("<<y<<")";
else
cout<<y;
}
else{
long long ta=c,tb=d;
if(ta<&&tb>||ta>&&tb<){
if(ta<)
ta=-ta;
if(tb<)
tb=-tb;
long long yushu=;
if(ta>tb){
yushu=ta/tb;
ta-=yushu*tb;
}
cout<<"(-";
if(yushu)
cout<<yushu<<" ";
cout<<ta<<"/"<<tb<<")";
}
else{
long long yushu=;
if(ta>tb){
yushu=ta/tb;
ta-=yushu*tb;
}
if(yushu)
cout<<yushu<<" ";
cout<<ta<<"/"<<tb;
}
}
cout<<" = ";
cd=b*c;
ab=a*d;
if(cd==){
cout<<"Inf";
return ;
}
if(ab%cd==){
long long z=ab/cd;
if(z<)
cout<<"("<<z<<")";
else
cout<<z;
}
else if(ab<&&cd>||ab>&&cd<){
if(ab<)
ab=-ab;
if(cd<)
cd=-cd;
long long yushu=;
if(ab>cd){
yushu=ab/cd;
ab-=yushu*cd;
}
long long gcd=__gcd(ab,cd);
ab/=gcd;
cd/=gcd;
cout<<"(-";
if(yushu)
cout<<yushu<<" ";
cout<<ab<<"/"<<cd<<")";
}
else{
long long yushu=;
if(ab>cd){
yushu=ab/cd;
ab-=yushu*cd;
}
long long gcd=__gcd(ab,cd);
ab/=gcd;
cd/=gcd;
if(yushu)
cout<<yushu<<" ";
cout<<ab<<"/"<<cd;
}
return ;
}
【PAT甲级】1088 Rational Arithmetic (20 分)的更多相关文章
- PAT Advanced 1088 Rational Arithmetic (20) [数学问题-分数的四则运算]
题目 For two rational numbers, your task is to implement the basic arithmetics, that is, to calculate ...
- PAT 甲级 1035 Password （20 分）
1035 Password (20 分) To prepare for PAT, the judge sometimes has to generate random passwords for th ...
- PAT 甲级 1073 Scientific Notation (20 分) (根据科学计数法写出数)
1073 Scientific Notation (20 分) Scientific notation is the way that scientists easily handle very ...
- PAT 甲级 1050 String Subtraction (20 分) （简单送分,getline(cin,s)的使用）
1050 String Subtraction (20 分) Given two strings S1 and S2, S=S1−S2 is defined to be t ...
- PAT 甲级 1046 Shortest Distance (20 分)（前缀和,想了一会儿）
1046 Shortest Distance (20 分) The task is really simple: given N exits on a highway which forms a ...
- PAT 甲级 1042 Shuffling Machine (20 分)（简单题）
1042 Shuffling Machine (20 分) Shuffling is a procedure used to randomize a deck of playing cards. ...
- PAT 甲级 1041 Be Unique (20 分)（简单,一遍过）
1041 Be Unique (20 分) Being unique is so important to people on Mars that even their lottery is de ...
- PAT 甲级 1015 Reversible Primes (20 分) （进制转换和素数判断(错因为忘了=)）
1015 Reversible Primes (20 分) A reversible prime in any number system is a prime whose "rever ...
- PAT甲级——1152.Google Recruitment (20分)
1152 Google Recruitment (20分) In July 2004, Google posted on a giant billboard along Highway 101 in ...
随机推荐
- Oracle Data Guard搭建 1.虚拟机安装linux
1.安装虚拟机 VMware 14 2.下载Linux镜像文件,创建虚拟机
- C语言循环语句工程用法
-循环语句分析 循环语句的基本工作方式 - 通过条件表达式判断是否执行循环体 - 条件表达式循环if语句表达式的原则 do.while.for的区别 - do语句先执行后判断,循环体至少循环一次 - ...
- Python记
在企业应用领域,Java或C#都是不错的选择.
- HTTP慢速攻击
漏洞原理 HTTP慢速攻击也叫slow http attack,是一种DoS攻击的方式.由于HTTP请求底层使用TCP网络连接进行会话,因此如果中间件对会话超时时间设置不合理,并且HTTP在发送请求的 ...
- <context:component-scan>标签
在spring-mvc的配置文件Springmvc-servlet.xml中,要扫描Controller注解的类,用<context:include-filter>标签 <conte ...
- winform学习（11）Timer控件
利用Timer控件制作简单的跑马灯: 拉一个Lable控件至窗体中心,Text内容为★▶◀★▶◀★▶◀★▶◀ 再拉一个Timer控件,属性Enabled设置为True(即开启控件),Interval设 ...
- Unity相机跟随
固定相机跟随 这种相机有一个参考对象,它会保持与该参考对象固定的位置,跟随改参考对象发生移动 using UnityEngine; using System.Collections; public c ...
- js Array 的所有方法
下面的这些方法会改变调用它们的对象自身的值: Array.prototype.copyWithin() 在数组内部,将一段元素序列拷贝到另一段元素序列上,覆盖原有的值. Array.prototyp ...
- gulp 搭建静态服务器
步骤: 安装依赖:npm i browser-sync --save-dev 导入browser-sync,通过create创建 设置Sass和Js任务,将其压缩重命名并引入页面,任务结束时reloa ...
- linux使用tree将目录结构写进txt
比如把caffe的二级目录结构写进txt: tree -L > /home/wmz/treecaffe.txt 则会在/home/wmz/目录下生成一个名为treecaffe.txt的文件,文件 ...