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authorGuillermo Ramos2019-04-23 20:35:15 +0200
committerGuillermo Ramos2019-04-23 20:35:15 +0200
commit84ea53edf5431d382844da8fcaa47626c8e2b6b2 (patch)
tree248ee32bebe2f3dd567a92214081fd6aaeae2c51 /perl/p5.pl
parentfa093824ff00a2cc6ebaaef4935c632b75b49a2e (diff)
downloadeuler-84ea53edf5431d382844da8fcaa47626c8e2b6b2.tar.gz
[perl] p4, p5
Diffstat (limited to 'perl/p5.pl')
-rwxr-xr-xperl/p5.pl48
1 files changed, 48 insertions, 0 deletions
diff --git a/perl/p5.pl b/perl/p5.pl
new file mode 100755
index 0000000..f63ca34
--- /dev/null
+++ b/perl/p5.pl
@@ -0,0 +1,48 @@
+#!/usr/bin/env perl
+
+use strict;
+use warnings;
+
+use List::Util qw(reduce max all);
+
+# Functional
+
+# Imperative
+my @primes = (2);
+sub factorize {
+ my $n = shift;
+ for my $i ($primes[-1] .. $n) {
+ push @primes, $i if all { $i % $_ != 0 } @primes;
+ }
+ my $factors;
+ for my $prime (@primes) {
+ if ($n % $prime == 0) {
+ $factors->{$prime}++;
+ $n /= $prime;
+ redo;
+ }
+ }
+ return $factors;
+}
+
+sub merge_factors {
+ my $fst = shift;
+ my $snd = shift;
+ my $res;
+ foreach my $k (keys %$fst) {
+ $res->{$k} = max($res->{$k} || 0, $fst->{$k});
+ }
+ foreach my $k (keys %$snd) {
+ $res->{$k} = max($res->{$k} || 0, $snd->{$k});
+ }
+ return $res;
+}
+
+my @factors = map { factorize $_ } (2..20);
+my $mcm = reduce { merge_factors($a, $b) } @factors;
+
+my $res = 1;
+foreach my $k (keys %$mcm) {
+ $res *= $k ** $mcm->{$k};
+}
+print $res, "\n";