C++第五次试验报告_数论算法

C++第五次试验报告

姓名：刘俊

学号：091201231

一．试验名称：

数论算法初步

二．试验目的：

1.熟悉vc；

2.掌握数论的初步算法；

三．试验内容：

配套实验a：

编写一个程序，求出整数11129987625428872488742229

的1000进制形式，并且判断是否可以被7整除配套实验b：编写程序实现辗转相除法

配套实验c：编写程序实现stein算法

配套实验d：编写程序，实现扩展的辗转相除法

四：试验代码：

试验a:

#include

using namespace std;

#define MAX 100

int main()

{

int a[MAX] = {0};

int i = 0;

int s = 0,t = 0;

int r;

unsigned long int n;

cout<<"请输入n值"<

cin>>n;

do

{

a[i] = n % 1000;

n = n / 1000;

i++;

}

while(n > 0);

i = 0;

while(a[i] != 0)

{

if( i % 2 == 0)

s += a[i];

if( i % 2 == 1)

t += a[i];

i++;

}

r = s - t;

if(r % 7 ==0)

cout<<"此数能被7整除"<

else

cout<<"此数能不被7整除"<

system("pause");

return 0;

}

试验b:

#include

#include

using namespace std;

int gcd(int a,int b)

{

int r;

do

{

r = a % b;

a = b;

b = r;

}

while(r > 0);

return a;

}

int main()

{

int a,b,temp;

cout<<"请输入a值"<

cin>>a;

cout<<"请输入b值"<

cin>>b;

if(a < b)

{

temp = b;

b = a;

a = temp;

}

cout<<"最小公约数："<

system("pause");

return 0;

}

试验c:

#include

#include

#include

using namespace std;

int main()

{

unsigned int a,b,temp;

int c = 2;

int p = 0;

cout<<"请输入a值"<

cin>>a;

cout<<"请输入b值"<

cin>>b;

if(a < b)

{

temp = b;

b = a;

a = temp;

}

while(b != 0)

{

while( (a & 1) == 0 && (b & 1) == 0)

{

a = a >> 1;

b = b >> 1;

p++;

}

while( (a & 1) == 0 && (b & 1) == 1)

{

a = a >> 1;

}

while( (a & 1) == 1 && (b & 1) == 0)

{

b = b >> 1;

}

while( (a & 1) == 1 && (b & 1) == 1)

{

temp = a;

a = b;

b = fabs(temp - b);

}

}

cout<<"最小公约数："<

return 0;

}

试验d:

#include

#include

using namespace std;

int main()

{

int a,b,r,d,s,t,x1 = 1,x2 = 0,y1 = 0,y2 = 1,temp,a1,b1;

int q;

cout<<"请输入a值"<

cin>>a;

cout<<"请输入b值"<

cin>>b;

if(a < b)

{

temp = b;

b = a;

a = temp;

}

a1 = a;

b1 = b;

r = a % b;

while(r >0)

{

q = (a - r) / b;

a = b;

b = r;

temp = x2;

x2 = x1 - q * x2;

x1 = temp;

temp = y2;

y2 = y1 - q * y2;

y1 = temp;

r = a % b;

}

d = b;

s = x2;

t = y2;

cout<<"最小公约数为："<

cout<<"d = "<

return 0;

}