Minimum multiple of m where digital sum equals m: Difference between revisions
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=={{header|XPL0}}== |
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<lang XPL0>func SumDigits(N); \Return sum of digits in N |
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int N, S; |
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[S:= 0; |
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while N do |
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[N:= N/10; |
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S:= S + rem(0); |
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]; |
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return S; |
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]; |
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int C, N, M; |
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[C:= 0; N:= 1; |
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repeat M:= 1; |
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while SumDigits(N*M) # N do M:= M+1; |
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IntOut(0, M); |
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C:= C+1; |
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if rem (C/10) then ChOut(0, 9\tab\) else CrLf(0); |
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N:= N+1; |
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until C >= 40+30; |
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]</lang> |
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{{out}} |
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<pre> |
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1 1 1 1 1 1 1 1 1 19 |
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19 4 19 19 13 28 28 11 46 199 |
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19 109 73 37 199 73 37 271 172 1333 |
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289 559 1303 847 1657 833 1027 1576 1282 17497 |
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4339 2119 2323 10909 11111 12826 14617 14581 16102 199999 |
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17449 38269 56413 37037 1108909 142498 103507 154981 150661 1333333 |
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163918 322579 315873 937342 1076923 1030303 880597 1469116 1157971 12842857 |
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</pre> |
Revision as of 15:03, 22 January 2022
Minimum multiple of m where digital sum equals m is a draft programming task. It is not yet considered ready to be promoted as a complete task, for reasons that should be found in its talk page.
Generate the sequence a(n) when each element is the minimum integer multiple m such that the digit sum of n times m is equal to n.
- Task
- Find the first 40 elements of the sequence.
- Stretch
- Find the next 30 elements of the sequence.
- See also
Raku
<lang perl6>sub min-mult-dsum ($n) { (1..∞).first: (* × $n).comb.sum == $n }
say .fmt("%2d: ") ~ .&min-mult-dsum for flat 1..40, 41..70;</lang>
- Output:
1: 1 2: 1 3: 1 4: 1 5: 1 6: 1 7: 1 8: 1 9: 1 10: 19 11: 19 12: 4 13: 19 14: 19 15: 13 16: 28 17: 28 18: 11 19: 46 20: 199 21: 19 22: 109 23: 73 24: 37 25: 199 26: 73 27: 37 28: 271 29: 172 30: 1333 31: 289 32: 559 33: 1303 34: 847 35: 1657 36: 833 37: 1027 38: 1576 39: 1282 40: 17497 41: 4339 42: 2119 43: 2323 44: 10909 45: 11111 46: 12826 47: 14617 48: 14581 49: 16102 50: 199999 51: 17449 52: 38269 53: 56413 54: 37037 55: 1108909 56: 142498 57: 103507 58: 154981 59: 150661 60: 1333333 61: 163918 62: 322579 63: 315873 64: 937342 65: 1076923 66: 1030303 67: 880597 68: 1469116 69: 1157971 70: 12842857
XPL0
<lang XPL0>func SumDigits(N); \Return sum of digits in N int N, S; [S:= 0; while N do
[N:= N/10; S:= S + rem(0); ];
return S; ];
int C, N, M; [C:= 0; N:= 1; repeat M:= 1;
while SumDigits(N*M) # N do M:= M+1; IntOut(0, M); C:= C+1; if rem (C/10) then ChOut(0, 9\tab\) else CrLf(0); N:= N+1;
until C >= 40+30; ]</lang>
- Output:
1 1 1 1 1 1 1 1 1 19 19 4 19 19 13 28 28 11 46 199 19 109 73 37 199 73 37 271 172 1333 289 559 1303 847 1657 833 1027 1576 1282 17497 4339 2119 2323 10909 11111 12826 14617 14581 16102 199999 17449 38269 56413 37037 1108909 142498 103507 154981 150661 1333333 163918 322579 315873 937342 1076923 1030303 880597 1469116 1157971 12842857