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Problem5.py

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+#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
+"""