Mark Dickinson added the comment:

Replacing lehmer_gcd.py with a revised version.  Even in Python, this 
version is faster than the current one, on my machine, once both numbers 
are greater than 10**650 or so (your crossover points may vary).  It's 
over four times faster for very large inputs (over 10**20000).

> In any case, before going any further, you should design a benchmark
> and defend it.

Okay.  I'll stop now :)

Added file: http://bugs.python.org/file9464/lehmer_gcd.py

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