Given a number **n** discover the smallest number same divisible by every number 1 come n.**Examples:**Input : n = 4Output : 12Explanation : 12 is the smallest numbers divisible by every numbers from 1 to 4Input : n = 10Output : 2520Input : n = 20Output : 232792560

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Attention reader! Don’t stop finding out now. Acquire hold of all the crucial mathematical principles for compete programming v the **Essential Maths for CP Course** in ~ a student-friendly price. To complete your ready from finding out a language come DS Algo and also many more, please refer **Complete Interview preparation Course****.**

If you observe carefully the **ans** have to be the **LCM of the numbers 1 to n**.To discover LCM of numbers from 1 come n –Initialize ans = 1.Iterate over all the number from i = 1 to ns = n.At the i’th iteration **ans = LCM(1, 2, …….., i)**. This have the right to be done conveniently as **LCM(1, 2, …., i) = LCM(ans, i)**.Thus at i’th iteration us just need to do –ans = LCM(ans, i) = ans * ns / gcd(ans, i) **Note :** In C++ code, the answer conveniently exceeds the creature limit, even the lengthy long limit.Below is the implementation of the logic.**Output :**232792560The above solution functions fine because that a solitary input. Yet if we have multiple inputs, that is a good idea to usage Sieve that Eratosthenes to store all prime factors. You re welcome refer below write-up for Sieve based approach.LCM of first n herbal NumbersThis article is contributed by **Ayush Khanduri**. If you prefer rewildtv.com and would like to contribute, friend can also write an short article using contribute.rewildtv.com or mail your write-up to contribute

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Kth aspect in permutation of first N natural numbers having actually all even numbers placed before odd number in raising order

Modulo Operator (%) in C/C++ with ExamplesCounting SortPrime NumbersProgram for factorial that a numberMerge 2 sorted arrays

Program for Decimal to Binary ConversionWrite a regimen to reverse digits the a numberProgram to discover sum of aspects in a provided arrayOperators in C / C++Find minimum variety of coins the make a given value

See more: How Much Is A Nova Scotia Duck Tolling Retriever Cost, Nova Scotia Duck Tolling Retriever

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