[알고리즘] 14. Between Two Sets

You will be given two arrays of integers and asked to 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. You must determine how many such numbers exist.

For example, given the arrays  and , there are two numbers between them:  and . , ,  and  for the first value. Similarly, ,  and , .

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):

• a: an array of integers
• b: an array of integers

Input Format

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

Constraints

Output Format

Print the number of integers that are considered to be between  and .

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.

답 : 

#!/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):

total = 0

for num in range(max(a),min(b)+1):

for numA in a:

if num%numA != 0:

break

else:

for numB in b:

if numB%num != 0:

break

else:

total += 1

return total

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()

최소공배수와 최대공약수를 다루는 문제다.

주의할 점은 기본적인 if-else문 처럼 같은 indent에 적지 않고 빠져나와서 다른 for문으로 갈 수 있게 else문을 하나 이전에 쓰는 것을 볼 수 있다.