The chef is getting bored with the recent lockdowns caused by the coronavirus epidemic. After some time he started learning cryptography. He is very excited to see the different types of keys used in cryptography and decides to invent a new type of key. First, Chef created a sequence of ntegers A1,A2,.......An that lie between 1 and M inclusive. After many sleepless nights, he decided that his key would be the LCM of this sequence, but he is not satisfied - he wants to make his key as big as possible. To do this, he wants to append exactly one more integer to the sequence. This nteger must also be between 1 and M, inclusive. Help the chef to maximize the key. Find the nteger that Chef should append to the sequence so that the key (LCM of the elements of the resulting sequence) is as large as possible. If there are multiple solutions, choose the smallest of the integers to connect that maximizes the LCM.Input

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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The chef is getting bored with the recent lockdowns caused by the coronavirus epidemic. After
some time he started learning cryptography. He is very excited to see the different types of keys
used in cryptography and decides to invent a new type of key. First, Chef created a sequence of
integers A1,A2,......An that lie between 1 and M inclusive. After many sleepless nights, he decided
that his key would be the LCM of this sequence, but he is not satisfied - he wants to make his key
as big as possible. To do this, he wants to append exactly one more integer to the sequence. This
integer must also be between 1 and M, inclusive. Help the chef to maximize the key. Find the
integer that Chef should append to the sequence so that the key (LCM of the elements of the
resulting sequence) is as large as possible. If there are multiple solutions, choose the smallest of
the integers to connect that maximizes the LCM.Input
Note: please answer this in java language only.
1
32
212
Output
1
Transcribed Image Text:The chef is getting bored with the recent lockdowns caused by the coronavirus epidemic. After some time he started learning cryptography. He is very excited to see the different types of keys used in cryptography and decides to invent a new type of key. First, Chef created a sequence of integers A1,A2,......An that lie between 1 and M inclusive. After many sleepless nights, he decided that his key would be the LCM of this sequence, but he is not satisfied - he wants to make his key as big as possible. To do this, he wants to append exactly one more integer to the sequence. This integer must also be between 1 and M, inclusive. Help the chef to maximize the key. Find the integer that Chef should append to the sequence so that the key (LCM of the elements of the resulting sequence) is as large as possible. If there are multiple solutions, choose the smallest of the integers to connect that maximizes the LCM.Input Note: please answer this in java language only. 1 32 212 Output 1
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