026.cpp File Reference

Find the value of d < 1000 for which 1/d contains the longest recurring cycle. More...

#include <iostream>
#include <vector>
#include "026_prime_table.h"

Go to the source code of this file.

Classes
class	bigNum
Typedefs
typedef unsigned long long	verylong
Functions
unsigned	period (unsigned d)
int	main ()
Variables
const verylong	segment_max = 1e13
const unsigned	digits_per_segments = 13

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Detailed Description

Find the value of d < 1000 for which 1/d contains the longest recurring cycle.

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.

Definition in file 026.cpp.