freeCodeCamp/curriculum/challenges/japanese/10-coding-interview-prep/project-euler/problem-466-distinct-terms-in-a-multiplication-table.md

id, title, challengeType, forumTopicId, dashedName

id	title	challengeType	forumTopicId	dashedName
5900f53e1000cf542c510051	Problem 466: Distinct terms in a multiplication table	5	302141	problem-466-distinct-terms-in-a-multiplication-table

--description--

Let P(m,n) be the number of distinct terms in an m×n multiplication table.

For example, a 3×4 multiplication table looks like this:

\begin{array}{c} × & \mathbf{1} & \mathbf{2} & \mathbf{3} & \mathbf{4} \\\\ \mathbf{1} & 1 & 2 & 3 & 4 \\\\ \mathbf{2} & 2 & 4 & 6 & 8 \\\\ \mathbf{3} & 3 & 6 & 9 & 12 \end{array}

There are 8 distinct terms {1, 2, 3, 4, 6, 8, 9, 12}, therefore P(3, 4) = 8.

You are given that:

\begin{align} & P(64, 64) = 1\\,263, \\\\ & P(12, 345) = 1\\,998, \text{ and} \\\\ & P(32, {10}^{15}) = 13\\,826\\,382\\,602\\,124\\,302. \\\\ \end{align}

Find P(64, {10}^{16}).

--hints--

multiplicationTable() should return 258381958195474750.

assert.strictEqual(multiplicationTable(), 258381958195474750);

--seed--

--seed-contents--

function multiplicationTable() {

  return true;
}

multiplicationTable();

--solutions--

// solution required