Answered: 2. Multiplying Factors For a pair of…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Multiplying Factors For a pair of integers (x,y) and an integer k, the multiplying factor is defined as minimum positive integer m such that LCM(x,y) * m is divisible by k. Here LCM(x,y) represents the smallest positive integer divisible by both x and y, their least common multiple. Given an array arr of n integers and an integer k, find the sum of multiplying factors over all pairs of integers (arr[i], arr[j]) and k0 <= i,j < n. Example Suppose n=3, arr =[4,5,6] and k=12. Pair Multiplying Factor Remarks (4, 3 LCM(4,4)**3=4**3 =12 4 ) LCM(5,5)**12=5** 12=60 (5, 12 LCM(6,6)**2=6**2 5) (6, 2 12 6 )

2. Multiplying Factors
For a pair of integers (x, y) and an integer k, the
multiplying factor is defined as minimum positive
integer m such that LCM(x, y) * m is divisible by
k. Here LCM(x, y) represents the smallest positive
integer divisible by both x and y, their least
common multiple.
Given an array arr of n integers and an integer
k, find the sum of multiplying factors over all pairs
of integers (arr[i], arr[j]) and k 0 si, j<n.
Example
Suppose n = 3, arr = [4, 5, 6] and k = 12.
Pair
Remarks
(4,
4)
(5,
5)
(6,
6)
Multiplying
Factor
3
12
2
LCM(4,4)*3= 4*3
= 12
LCM(5, 5) * 12 = 5*
12-60
LCM(6, 6) *2=6*2

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