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Mathematic

Mathematic is the essential component when dealing with deep learning, so it is necessary to understand the mathematic component and apply the theory into application

Least Common Multiple(LCM)

LCM introduction, by MathSmart, Youtube LCM, by Wikipedia

• smallest common multiple of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b.
• that can be used before fractions can be added, subtracted or compared.
• The LCM of more than two integers is also well-defined: it is the smallest positive integer that is divisible by each of them.

  public static int getTotalX(List<int> a, List<int> b)
    {
        List<int> consideredInt = new List<int>();

        //Get a List containing all int in range of input
        for(int i = 1; i <=100; i++) { consideredInt.Add(i); }

        for(int i = 0; i < a.Count; i++)
        {
            for(int j = 0; j < consideredInt.Count; j++)
            {
                if (consideredInt[j] % a[i] != 0)
                {
                    consideredInt.RemoveAt(j);
                    j--;
                }
            }
        }
        return consideredInt.Count;
    }

Greatest Common Divisor(DCM)

• which are not all zero, is the largest positive integer that divides each of the integers.
• The greatest common divisor is also known as the greatest common factor (gcf),[3] highest common factor (hcf),[4] greatest common measure (gcm),[5] or highest common divisor.[6]

  public static int getTotalX(List<int> a, List<int> b)
    {
        List<int> consideredInt = new List<int>();

        //Get a List containing all int in range of input
        for(int i = 1; i <=100; i++) { consideredInt.Add(i); }

        for(int i = 0; i < b.Count; i++)
        {
            for(int j = 0; j < consideredInt.Count; j++)
            {
                if(b[i] % consideredInt[j] != 0)
                {
                    consideredInt.RemoveAt(j);
                    j--;
                }
            }
        }
        return consideredInt.Count;
    }