updated document

Author: adamadair

problem_026/problem26.md

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+# Reciprocal cycles
+## Problem 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<br/>
+1/3	= 	0.(3)<br/>
+1/4	= 	0.25<br/>
+1/5	= 	0.2<br/>
+1/6	= 	0.1(6)<br/>
+1/7	= 	0.(142857)<br/>
+1/8	= 	0.125<br/>
+1/9	= 	0.(1)<br/>
+1/10	= 	0.1<br/>
+
+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.