Largest product of contiguous digits in Python

Suppose we have two numbers num and k, we have to find the largest product of k contiguous digits in num. We have to keep in mind that num is guaranteed to have >= k digits.

So, if the input is like num = 52689762 and k = 4, then the output will be 3024, largest product of 4 consecutive digits is (8*9*7*6) = 3024.

To solve this, we will follow these steps −

• largest := 0
• cand := 1
• while (quotient of num/10)^(k-1) > 0, do
  • digits := (last digit of nums)^k
  • cand := 1
  • while digits > 0, do
    • cand := cand * (digits mod 10)
    • if cand is same as 0, then
      • come out from the loop
    • digits := quotient of digits / 10
  • largest := maximum of largest and cand
  • num := quotient of nums / 10
• return largest

Let us see the following implementation to get better understanding −

Example

 Live Demo

class Solution:    def solve(self, num, k):       largest = 0       while num // 10 ** (k - 1) > 0:          digits = num % 10 ** k          cand = 1          while digits > 0:             cand *= digits % 10             if cand == 0:                break                digits //= 10                largest = max(largest, cand)                num //= 10       return largest ob = Solution() num = 52689762 k = 4 print(ob.solve(num,k))

Input

52689762, 4

Output

3024