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Demonstrating and showing pupils and students one application of Mathematics.



Versions on L C M Algorithm in Java




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Algorithm by: Educator usingMaths

Our Lowest Common Multiple code in Java.


List Lowest Common Multiple Class File:


package arithmetic;

import java.util.ArrayList;
import java.util.List;
import java.util.Arrays;
import java.util.Collections;

public class LCM {

    private final Integer[] set_of_numbers;
    private final Integer[] arg_copy// Java passes arrays by reference; make a copy.
    private final List<Integer> all_factors = new ArrayList<>(); // factors common to our set_of_numbers

    private int index// index into array common_factors
    private boolean state_check// variable to keep state
    private int calc_result;

    public LCM(List<Integer> group) {
        set_of_numbers = new Integer[group.size()];
        arg_copy = new Integer[group.size()];
        index = 0;

        //iterate through and retrieve members
        for (int number : group) {
            set_of_numbers[index] = number;
            index++;
        }

        Arrays.sort(set_of_numbers, Collections.reverseOrder());

        state_check = false;
        calc_result = 1;
    }

    /**
     * Our function checks 'set_of_numbers'; If it finds a factor common to all
     * for it, it records this factor; then divides 'set_of_numbers' by the
     * common factor found and makes this the new 'set_of_numbers'. It continues
     * recursively until all common factors are found.
     */

    private int findLCMFactors() {
        System.arraycopy(set_of_numbers, 0, arg_copy, 0, set_of_numbers.length);
        Arrays.sort(arg_copy, Collections.reverseOrder());

        while (index <= arg_copy[0]) {
            state_check = false;
            for (int j = 0; j < set_of_numbers.length; j++) {
                if (set_of_numbers[j] != 1 && (set_of_numbers[j] % index) == 0) {
                    set_of_numbers[j] /= index;
                    if (state_check == false) {
                        all_factors.add(index);
                    }
                    state_check = true;
                }
            }
            if (state_check == true) {
                return findLCMFactors();
            }
            index++;
        }

        return 0;
    }

    /**
     * Just calls out and collects the prepared factors.
     * @return - string value;
     */

    public int getLCM() {
        index = 2;
        findLCMFactors();

        //iterate through and retrieve members
        all_factors.stream().forEach((factor) -> {
            calc_result *= factor;
        });

        return calc_result;
    }
}


Main Class:


package arithmetic;

import java.util.ArrayList;
import java.util.List;

public class Arithmetic {

    public static void main(String[] args) {
        System.out.println("Welcome to our demonstration sequels");
        System.out.println("Hope you enjoy (and follow) the lessons.");
        System.out.println("");

        /*
        * Find LCM.
         */

        String render_result = "The LCM of ";
        LCM lcm;
        List<Integer> group;

        group = new ArrayList<>();
        group.add(40);
        group.add(50);
        group.add(60);

        for (int number : group) {
            render_result += number + "; ";
        }
        render_result += "is:  ";

        lcm = new LCM(group);
        System.out.println(render_result + lcm.getLCM());
    }
}


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