Smallest multiple: Difference between revisions

Line 175:
200 -> 337293588832926264639465766794841407432394382785157234228847021917234018060677390066992000
2000 -> 151117794877444315307536308337572822173736308853579339903227904473000476322347234655122160866668946941993951014270933512030194957221371956828843521568082173786251242333157830450435623211664308500316844478617809101158220672108895053508829266120497031742749376045929890296052805527212315382805219353316270742572401962035464878235703759464796806075131056520079836955770415021318508272982103736658633390411347759000563271226062182345964184167346918225243856348794013355418404695826256911622054015423611375261945905974225257659010379414787547681984112941581325198396634685659217861208771400322507388161967513719166366839894214040787733471287845629833993885413462225294548785581641804620417256563685280586511301918399010451347815776570842790738545306707750937624267501103840324470083425714138183905657667736579430274197734179172691637931540695631396056193786415805463680000</pre>
 
=={{header|jq}}==
'''Works with jq''' (*)<br>
'''Works with gojq, the Go implementation of jq'''
 
The following uses `is_prime` as defined at [[Erd%C5%91s-primes#jq]].
 
(*) The C implementation of jq has sufficient accuracy for N == 20 but not N == 200,
so the output shown below is based on a run of gojq.
<lang jq># Output: a stream of primes less than $n in increasing order
def primes($n):
2, (range(3; $n; 2) | select(is_prime));
 
# lcm of 1 to $n inclusive
def lcm:
. as $n
| reduce primes($n) as $p (1;
. * ($p | until(. * $p > $n; . * $p)) ) ;
 
"N: LCM of the numbers 1 to N inclusive",
( 10, 20, 200, 2000
| "\(.): \(smallest_multiple)" )</lang>
{{out}}
<pre>
N: LCM of the numbers 1 to N inclusive
10: 2520
20: 232792560
200: 337293588832926264639465766794841407432394382785157234228847021917234018060677390066992000
2000: 151117794877444315307536308337572822173736308853579339903227904473000476322347234655122160866668946941993951014270933512030194957221371956828843521568082173786251242333157830450435623211664308500316844478617809101158220672108895053508829266120497031742749376045929890296052805527212315382805219353316270742572401962035464878235703759464796806075131056520079836955770415021318508272982103736658633390411347759000563271226062182345964184167346918225243856348794013355418404695826256911622054015423611375261945905974225257659010379414787547681984112941581325198396634685659217861208771400322507388161967513719166366839894214040787733471287845629833993885413462225294548785581641804620417256563685280586511301918399010451347815776570842790738545306707750937624267501103840324470083425714138183905657667736579430274197734179172691637931540695631396056193786415805463680000
</pre>
 
=={{header|Julia}}==
2,442

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