C++编写的随机分数计算

#include<iostream>

#include<string>

#include <algorithm>

#include <cstdlib>

#include<vector>

#include<cstring>

using namespace std;

inline int gcd(unsigned long a,unsigned long b){//最大公约数

if(b==0)return a;

return gcd(b,a%b);

}

inline int lcd(unsigned long a,unsigned long b){//最小公倍数

return abgcd(a,b);

}

class Fraction{

protected:

unsigned long numerator ;//分子

unsigned long denominator;//分母

char flag;//正负号

public:

Fraction(unsigned long n=0,unsigned long d=1,char f='+'){//有参数的构造函数

int temp=gcd(n,d);

if(temp==0)

temp=1;

numerator=n/temp;

denominator=d/temp;//规格化

flag=f;

};

Fraction(const Fraction &b ){//COPY构造函数

numerator=bnumerator;

denominator=bdenominator;

flag=bflag;

};

char getFlag(){return flag;}

Fraction reciprocal ()const{//倒数

return Fraction(this->denominator,this->numerator,this->flag);

}

friend Fraction reciprocal(Fraction &b){//倒数

return Fraction(bdenominator,bnumerator,bflag);

}

bool Correct(){//判断分数形式是否合法、是否是既约分数

if(denominator==0||gcd(denominator,numerator)!=1)

return false;

return true;

}

void Cout(){//格式化输出Fraction

if(flag=='-')

cout<<"-";

printf("%lu/",numerator);

printf("%lu",denominator);

}

const Fraction & operator =( const Fraction b ){//重载=

numerator=bnumerator;

denominator=bdenominator;

flag=bflag;

return this;

}

friend Fraction & operator -( const Fraction &a,const Fraction &b );

friend Fraction & operator +( const Fraction &a,const Fraction &b ){//重载+

Fraction c;

if(aflag!=bflag)

return a-Fraction(bnumerator,bdenominator,aflag);

unsigned long temp=gcd(adenominator,bdenominator);

cdenominator=lcd(bdenominator,adenominator);

cnumerator=anumeratorcdenominator/adenominator+bnumeratorcdenominator/bdenominator;

temp=gcd(cdenominator,cnumerator);

cdenominator/=temp;

cnumerator/=temp;

cflag=aflag;

return c;

}

friend Fraction & operator -( const Fraction &a,const Fraction &b ){//重载-

Fraction c;

if(aflag!=bflag)

return a+Fraction(bnumerator,bdenominator,aflag);

unsigned long temp=gcd(adenominator,bdenominator);

cdenominator=lcd(bdenominator,adenominator);

cnumerator=anumeratorcdenominator/adenominator-bnumeratorcdenominator/bdenominator;

temp=gcd(cdenominator,cnumerator);

cdenominator/=temp;

cnumerator/=temp;

cflag=aflag;

if(cnumerator<0){

cnumerator=0-cnumerator;

if(cflag=='+')

cflag='-';

else cflag='+';

}

return c;

}

friend Fraction & operator ( const Fraction &a,const Fraction &b ){//重载

Fraction c;

cdenominator=adenominatorbdenominator;

cnumerator=anumeratorbnumerator;

unsigned long temp=gcd(cdenominator,cnumerator);

cdenominator/=temp;

cnumerator/=temp;

if(aflag==bflag)

cflag='+';

else cflag='-';

return c;

}

friend Fraction & operator /( const Fraction &a,const Fraction &b ){//重载/

Fraction c(breciprocal());

return ac;

}

friend bool operator==(const Fraction &a,const Fraction &b ){//重载==

return adenominator==bdenominator&&anumerator==bnumerator&&aflag==bflag;

}

};

inline Fraction Fraction_random(){//产生随机分数

return Fraction(rand(),rand()+1,(rand()&1)'-':'+');

}

Fraction fra[10][3];//分别存储随机生成的10个多项式的第一个运算数，第二个运算数，结果

char pol[10];//存储随机产生的10个多项式的运算类型

//举例，如a+b=c，则fra[i][0]=a,fra[i][1]=b,fra[i][2]=c,pol[i]='+'

//题目没有要求构造多项式类，所以这里就这么简化处理了~~

void Polynomial_random(){//生成全部10个随机多项式和其结果

for(int i=0,temp;i<10;i++){

temp=rand()%4;

fra[i][0]=Fraction_random();

fra[i][1]=Fraction_random();

if(temp==0){

pol[i]='+';

fra[i][2]=fra[i][0]+fra[i][1];

}

if(temp==1){

pol[i]='-';

fra[i][2]=fra[i][0]-fra[i][1];

}

if(temp==2){

pol[i]='';

fra[i][2]=fra[i][0]fra[i][1];

}

if(temp==3){

pol[i]='/';

fra[i][2]=fra[i][0]/fra[i][1];

}

}

}

void Cout(){//格式化输出10个多项式

for(int i=0;i<10;i++){

cout<<i+1<<"、\t";

fra[i][0]Cout();

printf(" %c ",pol[i]);

if(fra[i][1]getFlag()=='-'){

cout<<"(";

fra[i][1]Cout();

cout<<")";

}

else fra[i][1]Cout();

cout<<"=\n";

}

}

void Cin(){//读入答案并判断正误,最后统计分数

cout<<"\n";

cout<<" 请顺序输入每题答案： \n";

cout<<" (注意：1、输入的答案必须为既约分数，否则视为错误答案 \n";

cout<<" 2、若答案为0请输入0/1，否则视为错误答案) \n";

cout<<"\n";

string s;

unsigned long a,b;

int pos,score=0;

for(int i=0;i<10;i++){

pos=0;

a=0;

b=0;

cout<<i+1<<"、\t";

cin>>s;

while(s[pos]!='/'&&s[pos])

pos++;

if(s[0]!='-'){

for(int j=pos-1,k=1;j>=0;j--,k=10)

a+=(s[j]-'0')k;

}

else {

for(int j=pos-1,k=1;j>0;j--,k=10)

a+=(s[j]-'0')k;

}

for(int j=ssize()-1,k=1;j>pos;j--,k=10)

b+=(s[j]-'0')k;

if(Fraction(a,b,'+')==fra[i][2]){

cout<<"正确"<<endl;

score+=10;

}

else {

cout<<"错误，正确答案为：\t";

fra[i][2]Cout();

cout<<endl;

}

}

cout<<endl;

cout<<"总分："<<score<<endl;

}

int main(){

Polynomial_random();

Cout();

Cin();

return 0;

}

#include<stdioh>

int main()

{

printf("请输入第一个成绩：");

int a = 0;

int b = 0;

int c = 0;

int d = 0;

double e = 0;

scanf_s("%d,", &a);

printf("请输入第二个成绩：");

scanf_s("%d,", &b);

printf("请输入第三个成绩：");

scanf_s("%d,", &c);

//总成绩

d = a + b + c;

printf("总成绩为：%d\n",d);

//平均成绩

e = d / 3;

printf("平均成绩为：%1lf\n", e);

return 0;

}

完整的C程序：

#include "stdioh"

/ 分数结构 /

typedef struct

{

int numerator; / 分子 /

int denominator; / 分母 /

} Fraction;

int GCD(int a,int b);

int LCM(int a,int b);

Fraction Add(Fraction f1, Fraction f2);

void main()

{

Fraction f1, f2, f3;

f1numerator = 1;

f1denominator = 3;

f2numerator = 1;

f2denominator = 6;

f3 = Add(f1, f2);

printf("%d/%d + %d/%d = %d/%d\n", f1numerator, f1denominator, f2numerator, f2denominator, f3numerator, f3denominator);

}

/ 返回两个分数相加的结果 /

Fraction Add(Fraction f1, Fraction f2)

{

Fraction retValue;

int lcm = LCM(f1denominator, f2denominator); / 计算最小公倍数 /

int gcd;

retValuedenominator = lcm;

retValuenumerator = f1numerator  lcm / f1denominator + f2numerator  lcm / f2denominator;

gcd = GCD(retValuenumerator, retValuedenominator);

retValuenumerator /= gcd;

retValuedenominator /= gcd;

return retValue;

}

/ 返回两个整数的最大公约数 /

int GCD(int a,int b)

{

int i,temp_gcd;

for(i=a;i>=1;i--)

{

if(a%i==0)

{

if(b%i==0)

{

temp_gcd=i;

return temp_gcd;

}

}

}

}

/ 返回两个整数的最小公倍数 /

int LCM(int a,int b)

{

int temp_lcm;

temp_lcm = a  b / GCD(a,b);

return temp_lcm;

}

运行测试：

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