#ProjectEulter/Python/Project5.py
#Matthew Ellison
# Created: 01-28-19
#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 of my non-standard imports can be gotten from my pyClasses repository at https://bitbucket.org/Mattrixwv/pyClasses
"""
	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/>.
"""


from Stopwatch import Stopwatch

__startNum = 1
__stopNum = 20


def Problem5():
	#Setup the variables
	numFound = False	#Holds whether we have found the divisible number yet
	#Start at 20 and loop through all numbers until you find one that works
	#It must be at least 20 to be divisible by 20
	num = 20	#Holds the number that you are currently checking against
	while((not numFound) and (num > 0)):	#Set an escape, just in case there is no answer and you overflow
		#Set that you found the number to true, because you set this flag when you don't find it
		numFound = True
		#See if the current number is divisible by all numbers from 1 to 20
		for divisor in range(__startNum, __stopNum + 1):
			#If it is not set a flag to move to the next possible number
			if((num % divisor) != 0):
				numFound = False
				break

		#Increment the number by 2 to check the next one if you didn't find the number
		if not numFound:
			num += 2

	#Print the results
	if(num < 0):
		print("There was an error: Could not find a number that fit the criteria")
	else:
		print("The smallest positive number that is evenly divisible by all numbers 1-20 is " + str(num))

#If you are running this file, automatically start the correct function
if __name__ == '__main__':
	timer = Stopwatch()	#Determines the algorithm's run time
	timer.start()	#Start the timer
	Problem5()		#Call the function that answers the question
	timer.stop()	#Stop the timer
	#Print the results of the timer
	print("It took " + timer.getString() + " to run this algorithm")

"""Results:
The smallest positive number that is evenly divisible by all numbers 1-20 is 232792560
It took 50.236 seconds to run this algorithm
"""