Radical of an integer: Difference between revisions
m
→{{header|Raku}}: Add a Raku example
(Created a new draft task and added a Wren example.) |
Thundergnat (talk | contribs) m (→{{header|Raku}}: Add a Raku example) |
||
Line 28:
* OEIS sequence [[oeis:A007947|A007947: Largest square free number dividing n]]
<br>
=={{header|Raku}}==
<syntaxhighlight lang="raku" line>use Prime::Factor;
use List::Divvy;
use Lingua::EN::Numbers;
sub radical ($_) { [×] unique .&prime-factors }
say "First fifty radicals:\n" ~
(1..50).map({.&radical}).batch(10)».fmt("%2d").join: "\n";
say '';
printf "Radical for %7s => %7s\n", .&comma, comma .&radical
for 99999, 499999, 999999;
my %rad = 1 => 1;
my $limit = 1e6.Int;
%rad.push: $_ for (2..$limit).race(:1000batch).map: {(unique .&prime-factors).elems => $_};
say "\nRadical factor count breakdown, 1 through {comma $limit}:";
say .key ~ " => {comma +.value}" for sort %rad;
my @primes = (2..$limit).grep: &is-prime;
my int $powers;
@primes.&upto($limit.sqrt.floor).map: -> $p {
for (2..*) { ($p ** $_) < $limit ?? ++$powers !! last }
}
say qq:to/RADICAL/;
Up to {comma $limit}:
Primes: {comma +@primes}
Powers: $powers
Plus 1: 1
Total: {comma 1 + $powers + @primes}
RADICAL</syntaxhighlight>
{{out}}
<pre>First fifty radicals:
1 2 3 2 5 6 7 2 3 10
11 6 13 14 15 2 17 6 19 10
21 22 23 6 5 26 3 14 29 30
31 2 33 34 35 6 37 38 39 10
41 42 43 22 15 46 47 6 7 10
Radical for 99,999 => 33,333
Radical for 499,999 => 3,937
Radical for 999,999 => 111,111
Radical factor count breakdown, 1 through 1,000,000:
1 => 78,735
2 => 288,726
3 => 379,720
4 => 208,034
5 => 42,492
6 => 2,285
7 => 8
Up to 1,000,000:
Primes: 78,498
Powers: 236
Plus 1: 1
Total: 78,735
</pre>
=={{header|Wren}}==
{{libheader|Wren-math}}
| |||