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Largest number divisible by its digits: Difference between revisions
Largest number divisible by its digits (view source)
Revision as of 16:34, 3 April 2022
, 2 years agoR language
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=={{header|R}}==
===Base 10===
Possibility to choose the range of integers to explore.
I read Raku solution too late, so I didn't implement the "magic number" thing.
Although not fully optimized, this solution it's pretty fast and I like how it works doing the task, so I didn't change it.
<lang R>largest_LynchBell_number <- function(from, to){
from = round(from)
to = round(to)
to_chosen = to
if(to > 9876432) to = 9876432 #cap the search space to this number
LynchBell = NULL
range <- to:from #search starting from the end of the range
range <- range[range %% 5 != 0] #reduce search space
for(n in range){
splitted <- strsplit(toString(n), "")[[1]]
if("0" %in% splitted | "5" %in% splitted) next
if (length(splitted) != length(unique(splitted))) next
for (i in splitted) {
if(n %% as.numeric(i) != 0) break
if(which(splitted == i) == length(splitted)) LynchBell = n
}
if(!is.null(LynchBell)) break
}
message(paste0("The largest Lynch-Bell numer between ", from, " and ", to_chosen, " is ", LynchBell))
return(LynchBell)
}
#Verify (in less than 2 seconds)
for(i in 10^(1:8)){
largest_LynchBell_number(1, i)
}</lang>
{{out}}
<pre>
The largest Lynch-Bell numer between 1 and 10 is 9
The largest Lynch-Bell numer between 1 and 100 is 48
The largest Lynch-Bell numer between 1 and 1000 is 936
The largest Lynch-Bell numer between 1 and 10000 is 9864
The largest Lynch-Bell numer between 1 and 100000 is 98136
The largest Lynch-Bell numer between 1 and 1000000 is 984312
The largest Lynch-Bell numer between 1 and 10000000 is 9867312
The largest Lynch-Bell numer between 1 and 100000000 is 9867312</pre>
=={{header|Raku}}==
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