[CAS] listLCM Help
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09-22-2016, 09:49 PM
(This post was last modified: 09-23-2016 07:37 PM by compsystems.)
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[CAS] listLCM Help
Hello Earthlings =)
listLCM is a recursive function to calculate the least common multiple (LCM) of a list of integers numbers, using the internal function of the CAS LCM /!\ The HP-PRIME CAS is limited to 100 recursions =( listLCM(arg) Where the function accepts as argument a vector [...] or a list {...} Code:
listLCM({}); returns [ "Error: Bad Argument type. Empty list",{} ] OK listLCM([]); returns [ "Error: Bad Argument type. Empty list",[] ] OK listLCM("abc"); returns ["Error: /!\ Invalid Data Type","abc"] OK listLCM({1,2,3}); returns 6 // OK listLCM({1,2,3,4}); returns 12 // OK listLCM({x-1,x-2}); returns x^2-3*x+2 // ok listLCM({x-1,x-2,x-3}) ; returns x^3-6*x^2+11*x-6 // ok listLCM({x-1,x-2,x-3,x-3,x-3}) ; returns x^3-6*x^2+11*x-6 // ok listLCM({x-1,x-2,x-3,x-4}) ; returns x^4-10*x^3+35*x^2-50*x+24 // ok listLCM([1,2,3,4,5]); returns 60 // ok Now generating vectors, lists, and matrices with commands lst0:=MAKELIST(I,I,1,100,1) ->{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100} [type(lst0),TYPE(lst0)]; returns [DOM_LIST,6] listLCM(lst0); returns 69720375229712477164533808935312303556800 OK lst1:=(MAKEMAT(abs(I-J)+1,1,100))[1]; returns [1,2,3,...,96,97,98,99,100] [type(lst1),TYPE(lst1)]; returns [DOM_LIST,4] listLCM(lst1); returns 69720375229712477164533808935312303556800 OK lst2:=seq(k,k,1,100); returns [1,2,3,...,96,97,98,99,100] [type(lst2),TYPE(lst2)]; returns [DOM_LIST,4] listLCM(lst2); returns 69720375229712477164533808935312303556800 OK lst2a:=seq(k,k,1,101,1) ; returns [1,2,3,4,5, ..., 101] listLCM(lst2a); returns "/!\ Maximum recursion: 100" OK Using the double dot operator (..) on seq cmd lst3:=seq(k, k = 1 .. 100,1); returns [ 1,2,3,...,96,97,98,99,100 ] with conteiners [ ] on the history view now, goto the entry line [^](key up) {copy} (menu), disappear the conteiners [] WHY? 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100 type(lst3); returns DOM_LIST dim(lst3); returns 100 // objet list of 100 elements |
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[CAS] listLCM Help - compsystems - 09-22-2016 09:49 PM
RE: [CAS] listLCM Help - zahi48g - 09-22-2016, 10:45 PM
RE: [CAS] listLCM Help - compsystems - 09-23-2016, 01:53 PM
RE: [CAS] listLCM Help - toshk - 09-22-2016, 10:51 PM
RE: [CAS] listLCM Help - zahi48g - 09-23-2016, 04:58 PM
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