This is very similar to the Problem 14 on Project Euler [1].  Should
you really want a nice solution in Haskell, and noting that this is a
big spoiler, there are some on the wiki [2].  But I highly recommend
you to try coding your own solutions before looking at the site =).

Cheers!

[1] http://projecteuler.net/index.php?section=problems&id=14
[2] http://www.haskell.org/haskellwiki/Euler_problems/11_to_20#Problem_14

-- 
Felipe.

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