euler5

euler5.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "def divisible(x):\n",
    "    for i in range(1, 21):\n",
    "        if x % i != 0:\n",
    "            return False\n",
    "    return True\n",
    "\n",
    "def task(step):\n",
    "    i = 0\n",
    "    while True:\n",
    "        i += 1\n",
    "        n = step * i\n",
    "        if divisible(n):\n",
    "            return n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 2min 9s, sys: 55.2 ms, total: 2min 9s\n",
      "Wall time: 2min 9s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "\n",
    "assert task(step=1) == 232792560"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 7.07 s, sys: 4 ms, total: 7.07 s\n",
      "Wall time: 7.07 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "\n",
    "assert task(step=20) == 232792560"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 0 ns, sys: 30 µs, total: 30 µs\n",
      "Wall time: 34.8 µs\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "\n",
    "assert task(step=2*3*5*7*11*13*17*19) == 232792560"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 51 µs, sys: 0 ns, total: 51 µs\n",
      "Wall time: 54.1 µs\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "\n",
    "# one-liner just for fun\n",
    "\n",
    "value = next(x for x in (n*2*3*5*7*11*13*17*19 for n in range(1, 100)) if all(x % d == 0 for d in range(2, 19)))\n",
    "\n",
    "assert value == 232792560"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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