Find Remainder of Array Multiplication Divided by N in Python

In this article, we will learn about the solution to the problem statement given below −

Problem statement

Given multiple numbers and a number input n, we need to print the remainder after multiplying all the number divisible by n.

Approach

• First, compute the remainder like arr[i] % n. Then multiply this remainder with the current result.

• After multiplication, again take the same remainder to avoid overflow. This is in accordance with distributive properties of modular arithmetic.

( a * b) % c = ( ( a % c ) * ( b % c ) ) % c

Example

 Live Demo

def findremainder(arr, lens, n):
   mul = 1
   # find the individual remainder
   for i in range(lens):
      mul = (mul * (arr[i] % n)) % n
   return mul % n
# Driven code
arr = [100,1,2,3,4,5,6,6,7]
lens = len(arr)
n = 11
print( findremainder(arr, lens, n))

Output

1

All the variables are declared in the global frame as shown in the figure given below

Conclusion

In this article, we learned about the approach to Find reminder of array multiplication divided by n