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Problem20.py

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+#ProjectEuler/Python/Problem20.py
+#Matthew Ellison
+# Created: 03-14-19
+#Modified: 03-28-19
+#What is the sum of the digits of 100!
+#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
+
+__TOP_NUM = 100	#The number that you are trying to find the factorial of
+
+
+def Problem20():
+	num = 1	#Holds the number being calculated
+	sumOfNum = 0	#Holds the sum of the digits of num
+
+	#Run through every number from 1 to 100 and multiply it by the current num to get 100!
+	for cnt in range(1, __TOP_NUM + 1):
+		num *= cnt
+
+	#Get a string of the number because it is easier to pull appart the individual charaters for the sum
+	numString = str(num)
+	#Run through every character in the string, convert it back to an integer and add it to the running sum
+	for char in numString:
+		sumOfNum += int(char)
+
+	#Print the results
+	print("100! = " + numString)
+	print("The sum of the digits is: " + str(sumOfNum))
+
+
+#This starts the correct function if called directly
+if __name__ == "__main__":
+	timer = Stopwatch()
+	timer.start()
+	Problem20()
+	timer.stop()
+	print("It took " + timer.getString() + " to run this algorithm")
+
+""" Results:
+100! = 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000
+The sum of the digits is: 648
+It took 99.670 microseconds to run this algorithm
+"""