From c3e4e6391fa4606538f9012d1c2b52eb23436ca0 Mon Sep 17 00:00:00 2001
From: Julien Lengrand-Lambert <julien@lengrand.fr>
Date: Thu, 12 Jan 2012 16:08:31 +0100
Subject: [PATCH] Solves Problem 5. Prepares Problem 6

---
 e_5.py | 18 +++++++++++++++++-
 e_6.py | 20 ++++++++++++++++++++
 2 files changed, 37 insertions(+), 1 deletion(-)
 create mode 100755 e_6.py

diff --git a/e_5.py b/e_5.py
index d0e2ee5..dfa9cab 100755
--- a/e_5.py
+++ b/e_5.py
@@ -15,8 +15,24 @@ def divisible_by_all():
     """
     Returns the smallest number divisible by 1 to 20
     """
+    dividers = range(1, 20)[::-1] # in reverse order
+    max_div = dividers[0] + 1
+    ptr = 2
+    inc = 0
 
-    return 1
+    while 1:
+        val = max_div * ptr
+        # if divisible by all dividers
+        for divider in dividers:
+            if (val % divider != 0):
+                break
+            inc += 1
+
+        if inc == len(dividers):                
+            return val          
+        else :
+            inc = 0 
+        ptr += 1 
 
 if __name__ == '__main__':
     print "Answer : %d " % (divisible_by_all())
diff --git a/e_6.py b/e_6.py
new file mode 100755
index 0000000..3eb13a6
--- /dev/null
+++ b/e_6.py
@@ -0,0 +1,20 @@
+#!/usr/bin/env python 
+"""
+#---
+ Julien Lengrand-Lambert
+ Created on : Wed Jan 11 14:42:54 CET 2012
+
+ DESCRIPTION : Solves problem 6 of Project Euler
+ Find the difference between the sum of the squares of the first one hundred 
+ natural numbers and the square of the sum.
+#---
+""" 
+def sum_squares():
+    """
+    Returns the difference between the sum of the squares of the first one 
+    hundred natural numbers and the square of the sum.
+    """
+    return 1
+
+if __name__ == '__main__':
+    print "Answer : %d " % (sum_squares())