Integers X and K are given. The task is to find highest K-digit number divisible by X. Examples:
Input : X = 30, K = 3 Output : 990 990 is the largest three digit number divisible by 30. Input : X = 7, K = 2 Output : 98
An efficient solution is to use below formula.
ans = MAX - (MAX % X) where MAX is the largest K digit number which is 999...K-times
The formula works on simple school method division. We remove remainder to get the largest divisible number.Â
Python3
# Python code to find highest # K-digit number divisible by X   def answer(X, K):           # Computing MAX     MAX = pow(10, K) - 1          #returning ans     return (MAX - (MAX % X))   X = 30; K = 3;   print(answer(X, K));   # Code contributes by Mohit Gupta_OMG <(0_o)> |
Output :
990
Time Complexity: O(logn)
Auxiliary Space: O(1)
Please refer complete article on Largest K digit number divisible by X for more details!
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