Using bog standard LCM:
my @T = (
[2147483648, 12, 4096],
[3221225472, 5007, 4096],
[4096, 4096, 4096],
[8192, 8192, 4096],
[15000, 8192, 4096],
[17000, 8192, 4096],
[17000, 10, 4096],
);
sub gcd { !$_[1] ? $_[0] : gcd($_[1], $_[0] % $_[1]) }
sub lcm { $_[0] * $_[1] / gcd($_[0], $_[1]) }
for (@T) {
my ($S, $R, $P) = @$_;
my $N = $S - $S % lcm($R, $P);
print "@$_: $N\n";
}
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