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Problem 38 Pandigital multiples (set + vector)


Pandigital multiples


Problem 38


Take the number 192 and multiply it by each of 1, 2, and 3:

192 × 1 = 192
192 × 2 = 384
192 × 3 = 576

By concatenating each product we get the 1 to 9 pandigital, 192384576. We will call 192384576 the concatenated product of 192 and (1,2,3)

The same can be achieved by starting with 9 and multiplying by 1, 2, 3, 4, and 5, giving the pandigital, 918273645, which is the concatenated product of 9 and (1,2,3,4,5).

What is the largest 1 to 9 pandigital 9-digit number that can be formed as the concatenated product of an integer with (1,2, ... , n) where n


Answer:

932718654

Completed on Sat, 29 Oct 2016, 15:45


代码:


#include<bits/stdc++.h>
using namespace std;

void split_digits(int n, vector<int>& v)
{
int digits[12];
int len = 0;
while(n>0)
{
digits[len++] = n %10;
n /= 10;
}

for(int i=len-1;i>=0;i--)
{
v.push_back(digits[i]);
}
}

void disp(int n){ cout<<n; }

int main()
{
for(int x=1;x<10000;x++)
{
vector<int> s;
int n = 0;
while(n<=9)
{
n++;
split_digits(n*x,s); //n*x 的各位数字加入到 vector<int>s中

if (s.size() == 9)
{
set<int> set_product(s.begin(),s.end()); //将vector中的数字保存到set集合中
if(set_product.size() == 9) //说明没有重复数字
{
//判断是否含有数字 0
set<int>::iterator it = set_product.find(0);

if (it == set_product.end()) //不含数字 0
{
//满足条件,输出
cout<<"x="<<x<<" n="<<n<<" ";
cout<<"乘积和为:";
for_each(s.begin(),s.end(),disp);
cout<<endl;
}
}
}
else if (s.size() > 9)
{
break; //下一个 x
}
}

}
return 0;
}




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