//ProjectEuler/Java/Problem5.java
//Matthew Ellison
// Created: 03-01-19
//Modified: 03-28-19
//What is the smallest positive number that is evenly divisible by all of the numbers from 1 to 20?
//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/JavaClasses
/*
	Copyright (C) 2019  Matthew Ellison

	This program is free software: you can redistribute it and/or modify
	it under the terms of the GNU Lesser General Public License as published by
	the Free Software Foundation, either version 3 of the License, or
	(at your option) any later version.

	This program is distributed in the hope that it will be useful,
	but WITHOUT ANY WARRANTY; without even the implied warranty of
	MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
	GNU Lesser General Public License for more details.

	You should have received a copy of the GNU Lesser General Public License
	along with this program.  If not, see <https://www.gnu.org/licenses/>.
*/


import mattrixwv.Stopwatch;

import java.util.ArrayList;


public class Problem5{
	public static void main(String[] argv){
		Stopwatch timer = new Stopwatch();	//So you can time the code

		//Start the timer
		timer.start();

		//Start at 20 because it must at least be divisible by 20. Increment by 2 because it must be an even number to be divisible by 2
		Boolean numFound = false;
		Integer currentNum = 20;
		while((currentNum > 0) && (!numFound)){
			//Start by assuming you found the number (because we throw a flag if we didn't find it)
			numFound = true;
			//Step through every number from 1-20 seeing if the current number is divisible by it
			for(Integer divisor = 1;divisor <= 20;++divisor){
				//If it is not divisible then throw a flag and start looking at the next number
				if((currentNum % divisor) != 0){
					numFound = false;
					break;
				}
			}
			//If you didn't find the correct numbe then increment by 2
			if(!numFound){
				currentNum += 2;
			}
		}

		//Stop the timer
		timer.stop();

		//Print the results
		System.out.println("The smallest positive number evenly divisibly by all number 1-20 is " + currentNum.toString());
		System.out.println("It took " + timer.getStr() + " to run this algorithm");
	}
}

/* Results:
The smallest positive number evenly divisibly by all number 1-20 is 232792560
It took 1.987 seconds to run this algorithm
*/