2019迅雷笔试
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2022-05-14 15:49:03
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首先,勾股数的证明:可以参考百度百科-勾股数
代码主要分为两个部分:判断是否互质;判断是否符合勾股数
#include <iostream>
#include <stdio.h>
#include <string.h>
#include <math.h>
using namespace std;
const int M=1000010;
bool Judge[M];
int JugdgeNumber(long a,long b)
{
return b==0?a:JugdgeNumber(b,a%b);
}
int main()
{
long a,b,c,N;
cin>>N;
int nOut=0;
long m=(long)sqrt(N+0.5);
memset(Judge, 0, sizeof(Judge));
for (long i=1;i<=m;i++)
{
for (long j=i+1;j*i<=N;j+=2)
{
if (JugdgeNumber(j,i)==1)
{
a=i*j*2; b=(j*j-i*i); c=(j*j+i*i);
if (c<=N)
{
nOut++;
if (!Judge[a]) { Judge[a] = 1; }
if (!Judge[b]) { Judge[b] = 1; }
if (!Judge[c]) { Judge[c] = 1; }
}
for (int k=2;c*k<=N;k++)
{
if (!Judge[a * k]) { Judge[a * k] = 1; }
if (!Judge[b * k]) { Judge[b * k] = 1; }
if (!Judge[c * k]) { Judge[c * k] = 1; }
}
}
}
}
cout<<nOut<<endl;
return 0;
}
代码通过哈