演算法競賽入門經典(第二版)習題解答參考(第二章)
阿新 • • 發佈:2019-01-29
習題2-1 水仙花數
#include <iostream> #include<cstdio> using namespace std; int main() { int a = 0,b = 0,c = 0; for(int i = 100;i<1000;i++) { a = i%10; b = i/10%10; c = i/100; if( (a*a*a + b*b*b + c*c*c) == i) { cout<<i<<endl; } } }
習題2-2 韓信點兵
#include <iostream> #include<cstdio> using namespace std; int main() { int a = 0,b = 0,c = 0; int num = 0; while(cin>>a>>b>>c) { bool flag = false; num++; for(int i = 10;i<=100;i++) { if(i%3 == 2 && i%5 == b && i%7 == c) { flag = true; cout<<"Case "<<num<<": "<<i<<endl; break; } } if(flag == false) { cout<<"Case "<<num<<": No answer"<<endl; } } }
習題2-3 倒三角形
#include <iostream> #include<cstdio> using namespace std; int arr[20]; void printstar(int n) { for(int i = 1;i<=arr[n-1];i++) { cout<<'*'; } cout<<endl; } void printspace(int n) { for(int i = 1;i<=n;i++) { cout<<' '; } } int main() { for(int i = 0;i<20;i++) { arr[i] = 2*i+1; } int n; while(cin>>n) { int num = n; while(n>=1) { printspace(num-n); printstar(n); n--; } } }
習題2-4 子序列的和
#include <iostream>
#include<cstdio>
using namespace std;
int main()
{
int n,m;
int k = 0;
while(cin>>n>>m && n!= 0 && m!=0)
{
k++;
double sum = 0.0;
for(int i = n;i<=m;i++)
{
double temp = 1.0/(i*i);
sum += temp;
}
printf("Case %d: %.5f\n",k,sum);
}
}
習題2-5 分數化小數
#include <iostream>
#include<cstdio>
using namespace std;
int arr[110];
void pintfarr(int c)
{
// cout<<endl<<"c= "<<c<<endl<<endl;
for(int i = 0;i<c;i++)
{
cout<<arr[i];
}
cout<<endl;
}
int main()
{
int a , b, c;
int number = 0;
while(cin>>a>>b>>c)
{
memset(arr,0,sizeof(arr));
number++;
cout<<"Case "<<number<<": "<<a/b<<".";
if(a%b!=0)
{
int num = c+1;
int getnum = a%b;
while(num)
{
getnum*=10;
while(getnum<b)
{
getnum*=10;
num--;
}
int temp = getnum/b;
getnum%=b;
arr[c-num+1] = temp;
num--;
}
}
if(arr[c]>=5)
{
arr[c-1]++;
}
pintfarr(c);
}
}
習題2-6 排列
#include <iostream>
#include<cstdio>
using namespace std;
int arr[10];
int main()
{
for(int i = 123;i<=333;i++)
{
memset(arr, 0, sizeof(arr));
int i1 = i ;
int i2 = 2*i;
int i3 = 3*i;
arr[i1%10] = i1%10;
arr[i1/10%10] = i1/10%10;
arr[i1/100] = i1/100;
arr[i2%10] = i2%10;
arr[i2/10%10] = i2/10%10;
arr[i2/100] = i2/100;
arr[i3%10] = i3%10;
arr[i3/10%10] = i3/10%10;
arr[i3/100] = i3/100;
bool flag = true;
for(int i = 1;i<=9;i++)
{
if(arr[i] != i)
{
flag = false;
}
}
if(flag)
{
cout<<i1<<" "<<i2<<" "<<i3<<endl;
}
}
}