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| #include <iostream>
# include <math.h>
using namespace std;
class Fraction
{
public:
int chisl;
int znam;
Fraction ()
{
cout<<"Введите числитель и знаменатель ";
cin>>chisl>>znam;
}
~Fraction() {}
void plus (Fraction pos1, Fraction pos2);
void umnojenie (Fraction pos1, Fraction pos2);
void delenie (Fraction pos1, Fraction pos2);
void minus (Fraction pos1, Fraction pos2);
void stepen (Fraction pos1);
};
void Fraction :: plus (Fraction pos1, Fraction pos2)
{
cout<<pos1.chisl<<"/"<<pos1.znam<<" + "<<pos2.chisl<<"/"<<pos2.znam<<"= ";
int a=pos1.znam*pos2.znam, b=pos1.chisl*pos2.znam+pos1.znam*pos2.chisl;
int a1, b1, k=0;
if(a>b)
{
a1=a; b1=b;
do
{
if (a1>=b1)
a1=a1%b1;
else
b1=b1%a1;
}
while (a1*b1>0);
a/=(a1+b1); b/=(a1+b1);
cout<<b<<"/"<<a<<endl;
}
if(a==b)
cout<<1<<endl;
if(a<b)
{
while(a<b)
{
b-=a;
k++;
}
if(a==b)
cout<<1+k<<endl;
else
{
a1=a; b1=b;
do
{
if (a1>=b1)
a1=a1%b1;
else
b1=b1%a1;
}
while (a1*b1>0);
a/=(a1+b1); b/=(a1+b1);
cout<<k<<"."<<b<<"/"<<a<<endl;
}
}
}
void Fraction :: umnojenie (Fraction pos1, Fraction pos2)
{
cout<<pos1.chisl<<"/"<<pos1.znam<<" * "<<pos2.chisl<<"/"<<pos2.znam<<"= ";
int a=pos1.znam*pos2.znam, b=pos1.chisl*pos2.chisl;
int a1, b1, k=0;
if(a>b)
{
a1=a; b1=b;
do
{
if (a1>=b1)
a1=a1%b1;
else
b1=b1%a1;
}
while (a1*b1>0);
a/=(a1+b1); b/=(a1+b1);
cout<<b<<"/"<<a<<endl;
}
if(a==b)
cout<<1<<endl;
if(a<b)
{
while(a<b)
{
b-=a;
k++;
}
if(a==b)
cout<<1+k<<endl;
else
{
a1=a; b1=b;
do
{
if (a1>=b1)
a1=a1%b1;
else
b1=b1%a1;
}
while (a1*b1>0);
a/=(a1+b1); b/=(a1+b1);
cout<<k<<"."<<b<<"/"<<a<<endl;
}
}
}
void Fraction :: delenie (Fraction pos1, Fraction pos2)
{
cout<<pos1.chisl<<"/"<<pos1.znam<<" / "<<pos2.chisl<<"/"<<pos2.znam<<"= ";
int a=pos1.znam*pos2.chisl, b=pos2.znam*pos1.chisl;
int a1, b1, k=0;
if(a>b)
{
a1=a; b1=b;
do
{
if (a1>=b1)
a1=a1%b1;
else
b1=b1%a1;
}
while (a1*b1>0);
a/=(a1+b1); b/=(a1+b1);
cout<<b<<"/"<<a<<endl;
}
if(a==b)
cout<<1<<endl;
if(a<b)
{
while(a<b)
{
b-=a;
k++;
}
if(a==b)
cout<<1+k<<endl;
else
{
a1=a; b1=b;
do
{
if (a1>=b1)
a1=a1%b1;
else
b1=b1%a1;
}
while (a1*b1>0);
a/=(a1+b1); b/=(a1+b1);
cout<<k<<"."<<b<<"/"<<a<<endl;
}
}
}
void Fraction :: minus (Fraction pos1, Fraction pos2)
{
cout<<pos1.chisl<<"/"<<pos1.znam<<" - "<<pos2.chisl<<"/"<<pos2.znam<<"= ";
int a=pos1.znam*pos2.znam, b=pos1.chisl*pos2.znam-pos1.znam*pos2.chisl;
int a1, b1, k=0, z=0;
if(b==0)
cout<<0;
else
{
if(b<0)
{
b*=-1;
z++;
}
if(a>b)
{
a1=a; b1=b;
do
{
if (a1>=b1)
a1=a1%b1;
else
b1=b1%a1;
}
while (a1*b1>0);
a/=(a1+b1); b/=(a1+b1);
if(z)
cout<<"-"<<b<<"/"<<a<<endl;
else
cout<<b<<"/"<<a<<endl;
}
if(a==b)
if(z)
cout<<-1<<endl;
else
cout<<1<<endl;
if(a<b)
{
while(a<b)
{
b-=a;
k++;
}
if(a==b)
if(z)
cout<<"-"<<1+k<<endl;
else
cout<<1+k<<endl;
else
{
a1=a; b1=b;
do
{
if (a1>=b1)
a1=a1%b1;
else
b1=b1%a1;
}
while (a1*b1>0);
a/=(a1+b1); b/=(a1+b1);
if(z)
cout<<"-"<<k<<"."<<b<<"/"<<a<<endl;
else
cout<<k<<"."<<b<<"/"<<a<<endl;
}
}
}
}
void Fraction :: stepen (Fraction pos1)
{
int n, z=1, z1=1;
cout<<endl<<"Возвести в степень n первую дробь, n=";
cin>>n;
if(n>0)
for(int i=0; i<n;i++)
{
z1*=pos1.chisl;
z*=pos1.znam;
}
if(n<0)
for(int i=0; i>n;i--)
{
z*=pos1.chisl;
z1*=pos1.znam;
}
int a1, b1, k=0;
if(z>z1)
{
a1=z; b1=z1;
do
{
if (a1>=b1)
a1=a1%b1;
else
b1=b1%a1;
}
while (a1*b1>0);
z/=(a1+b1); z1/=(a1+b1);
cout<<z1<<"/"<<z<<endl;
}
if(z==z1)
cout<<1<<endl;
if(z<z1)
{
while(z<z1)
{
z1-=z;
k++;
}
if(z==z1)
cout<<1+k<<endl;
else
{
a1=z; b1=z1;
do
{
if (a1>=b1)
a1=a1%b1;
else
b1=b1%a1;
}
while (a1*b1>0);
z/=(a1+b1); z1/=(a1+b1);
cout<<k<<" "<<z1<<"/"<<z<<endl;
}
}
}
void main()
{
setlocale(0,"");
Fraction *pos1=new Fraction();
Fraction *pos2=new Fraction();
int com;
while(1)
{
cout<<"Что сделать с дробями? :\n\
0 - +\n\
1 - -\n\
2 - *\n\
3 - /\n\
4 - ^\n\
5 - все на что способен";
cout<<endl;
cin>>com;
cout<<endl;
switch(com)
{
case 0:
pos1->plus(*pos1,*pos2);
system("pause>>void");
break;
case 1:
pos1->minus(*pos1,*pos2);
system("pause>>void");
break;
case 2:
pos1->umnojenie(*pos1,*pos2);
system("pause>>void");
break;
case 3:
pos1->delenie(*pos1,*pos2);
system("pause>>void");
break;
case 4:
pos1->stepen(*pos1);
system("pause>>void");
break;
case 5:
pos1->plus(*pos1,*pos2);
pos1->minus(*pos1,*pos2);
pos1->umnojenie(*pos1,*pos2);
pos1->delenie(*pos1,*pos2);
pos1->stepen(*pos1);
system("pause>>void");
break;
default:
system("cls");
cout<<"Такого действия нет";
}
}
delete pos1;
delete pos2;
system("pause>>void");
} |
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Сообщение от nachC
