You rule Tilly!
I had to point out the mod operator in this function:
sub gcd {
my ($n, $m) = @_;
while ($m) {
my $k = $n % $m;
($n, $m) = ($m, $k);
}
return $n;
}
. . . particularly the use of the mod operator.
I remember reading Robert Sedgewick's
Mastering Algorithms in C++
and really getting a kick out of the first example - Euclide's
greatest common denominator formula.
At first, Sedgewick implemented it with the division
operator:
my $k = $n / $m;
Then he explained that replacing the
/ operator
with the
% operator results in about 75% less iterations
through the while loop. Incredible.
Jeff
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