Between Two Sets

 

There will be two arrays of integers. Determine all integers that satisfy the following two conditions:

1. The elements of the first array are all factors of the integer being considered
2. The integer being considered is a factor of all elements of the second array

These numbers are referred to as being between the two arrays. Determine how many such numbers exist.

Example

There are two numbers between the arrays:  and .
, ,  and  for the first value.
,  and ,  for the second value. Return .

Function Description

Complete the getTotalX function in the editor below. It should return the number of integers that are betwen the sets.

getTotalX has the following parameter(s):

• int a[n]: an array of integers
• int b[m]: an array of integers

Returns

• int: the number of integers that are between the sets

Input Format

The first line contains two space-separated integers,  and , the number of elements in arrays  and .
The second line contains  distinct space-separated integers  where .
The third line contains  distinct space-separated integers  where .

Constraints

Sample Input

2 3
2 4
16 32 96

Sample Output

3

Explanation

2 and 4 divide evenly into 4, 8, 12 and 16.
4, 8 and 16 divide evenly into 16, 32, 96.

4, 8 and 16 are the only three numbers for which each element of a is a factor and each is a factor of all elements of b.

Program:

#!/bin/python3

import math

import os

import random

import re

import sys

#

# Complete the 'getTotalX' function below.

#

# The function is expected to return an INTEGER.

# The function accepts following parameters:

#  1. INTEGER_ARRAY a

#  2. INTEGER_ARRAY b

#

def getTotalX(a, b):

    # Write your code here

    m=max(a)

    n=min(b)

    list1=[]

    count=0

    

    for i in range(m,n+1):

        f=0

        for item in a:

            if i% item==0:

                continue

            else:

                f=1

                break

        if f==0:

            for item in b:

                if item%i==0:

                    continue

                else:

                    f=1

                    break

        if f==0:

            count+=1

    return count

if __name__ == '__main__':

    fptr = open(os.environ['OUTPUT_PATH'], 'w')

    first_multiple_input = input().rstrip().split()

    n = int(first_multiple_input[0])

    m = int(first_multiple_input[1])

    arr = list(map(int, input().rstrip().split()))

    brr = list(map(int, input().rstrip().split()))

    total = getTotalX(arr, brr)

    fptr.write(str(total) + '\n')

    fptr.close()

Output:

Compiler Message

Success

Input (stdin)

• 2 3

• 2 4

• 16 32 96

Expected Output

• 3