Project Euler task 26
A unit fraction contains 1 in the numerator. The decimal representation of the unit fractions with denominators 2 to 10 are given:
1/2 = 0.5 1/3 = 0.(3) 1/4 = 0.25 1/5 = 0.2 1/6 = 0.1(6) 1/7 = 0.(142857) 1/8 = 0.125 1/9 = 0.(1) 1/10 = 0.1
Where 0.1(6) means 0.166666..., and has a 1-digit recurring cycle. It can be seen that 1/7 has a 6-digit recurring cycle.
Find the value of d 1000 for which 1/d contains the longest recurring cycle in its decimal fraction part.
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#include < iostream >
#include < vector >
using namespace std;
int cycle(int _n) {
unsigned long long int num = 10;
int arr[1000];
for (int i = 0; i < 1000; i++) {
int d = num / _n; // integer
int r = num % _n; // remainder
if (r == 0)
return 0;
arr[i] = r;
for (int j = 0; j < i; j++)
if (arr[j] == r)
return (i - j);
num = r * 10;
}
return 0;
}
int main() {
int iMax = 0;
int iMaxNum = 0;
for (int i = 1; i < 1000; i++) {
int iTemp = cycle(i);
if (iTemp > iMax) {
iMax = iTemp;
iMaxNum = i;
}
}
cout << iMaxNum << " " << iMax << endl;
return 0;
}
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