834 B
834 B
id | title | challengeType | videoUrl |
---|---|---|---|
5900f4091000cf542c50ff1c | 问题157:解决丢番图方程 | 5 |
--description--
491/5000
考虑具有a,b,p,n个正整数且a≤b的双色子方程1 / a + 1 / b = p / 10n。
对于n = 1,此等式有20个解决方案,如下所示:
1/1 + 1/1 = 20/10
1/1 + 1/2 = 15/10
1/1 + 1/5 = 12/10
1/1 + 1/10 = 11/10
1/2 + 1/2 = 10/10
1/2 + 1/5 = 7/10
1/2 + 1/10 = 6/10
1/3 + 1/6 = 5/10
1/3 + 1/15 = 4/10
1/4 + 1/4 = 5/10
1/4 + 1/20 = 3/10
1/5 + 1/5 = 4/10
1/5 + 1/10 = 3/10
1/6 + 1/30 = 2/10
1/10 + 1/10 = 2/10
1/11 + 1/110 = 1/10
1/12 + 1/60 = 1/10
1/14 + 1/35 = 1/10
1/15 + 1/30 = 1/10
1/20 + 1/20 = 1/10
对于1≤n≤9,该方程有多少个解?
--hints--
euler157()
应返回53490。
assert.strictEqual(euler157(), 53490);