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(function (n) { | |
return Array.prototype.join.call({length: n + 1}, 0).split("").reduce(function (prev, curr, i, arr, undef) { | |
return (!(i%3) || !(i%5)) && i > 0 ? prev.push(i) && prev : prev; | |
}, []).reduce(function (a, b) {return a + b;}); | |
}(1000)) //233168 |
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(function (limit) { | |
return (function r(arr, limit) { | |
var n = arr[arr.length - 1] + arr[arr.length - 2]; | |
return n < limit ? (arr.push(n), r(arr, limit)) : arr; | |
}([0, 1], limit)).reduce(function (a, b) { | |
return !(b%2) ? a + b : a; | |
}); | |
}(4000000)) //4613732 |
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function isPrime(n) { | |
var a = Math.floor(Math.sqrt(n)); | |
while (a > 1) { | |
if (!(n%a)) { | |
return false; | |
} | |
a -= 1; | |
} | |
return true; | |
} | |
function nextPrimeFactor(n, composite) { | |
var i = composite ? n || 1 : 1; | |
while (i += 2) { | |
if (!(composite%i) && isPrime(i)) { | |
return i; | |
} | |
} | |
} | |
(function (composite) { | |
var primeFactors = [1]; | |
while (primeFactors.reduce(function (a,b) {return a*b;}, 1) < composite) { | |
primeFactors.push(nextPrimeFactor(primeFactors[primeFactors.length - 1], composite)); | |
} | |
return primeFactors[primeFactors.length - 1]; | |
}(600851475143)); |
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function factor(n) { | |
var i = 999; | |
while (n%i) { | |
i -= 1; | |
} | |
return i; | |
} | |
function nextPalindrome(n) { | |
var s = n + ""; | |
var p1 = s.substr(0,s.length/2); | |
p1 = Number(p1) - 1; | |
var p2 = (p1 + "").split("").reverse().join(""); | |
return Number(p1 + p2); | |
} | |
(function (n) { | |
var p = nextPalindrome(n); | |
var f = factor(p); | |
while (f < 100 || p/f > 999) { | |
p = nextPalindrome(p); | |
f = factor(p); | |
} | |
return [p, f, p/f]; | |
}(999*999)) |
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var arr = (function (result, n, len) { | |
var i = n; | |
for (; i <= len; i += 1) { | |
result.push(i); | |
} | |
return result; | |
}([], 1, 20)); | |
function isPrime(n) { | |
var a = Math.floor(Math.sqrt(n)); | |
while (a > 1) { | |
if (!(n%a)) { | |
return false; | |
} | |
a -= 1; | |
} | |
return true; | |
} | |
var primes = (function (results, n) { | |
while (n > 1) { | |
if (isPrime(n)) { | |
results.push(n); | |
} | |
n -= 1; | |
} | |
return results; | |
}([], 20)); | |
var leap = primes.reduce(function (a, b) {return a*b;}); | |
function factorable(n) { | |
return arr.every(function (i) { | |
return !(n%i); | |
}); | |
} | |
(function (L) { | |
var n = L; | |
while (!factorable(n)) { | |
n += L; | |
} | |
return n; | |
}(leap)); //232792560 |
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(function (a, b) { | |
var i, result = 0; | |
for (i = a; i < b + 1; i += 1) { | |
result += i; | |
} | |
return result * result; | |
}(1, 100)) - (function (a, b) { | |
var i, result = 0; | |
for (i = a; i < b + 1; i += 1) { | |
result += i * i; | |
} | |
return result; | |
}(1, 100)) //25164150 |
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function isPrime(n) { | |
var a = Math.floor(Math.sqrt(n)); | |
while (a > 1) { | |
if (!(n%a)) { | |
return false; | |
} | |
a -= 1; | |
} | |
return true; | |
} | |
(function (n) { | |
var primes = [2, 3]; | |
var p = 3; | |
while (primes.length < n) { | |
p += 2; | |
while (!isPrime(p)) { | |
p += 2; | |
} | |
primes.push(p); | |
} | |
return primes[primes.length - 1]; | |
}(10001)); //104743 |
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var n = "7316717653133062491922511967442657474235534919493496983520312774506326239578318016984801869478851843858615607891129494954595017379583319528532088055111254069874715852386305071569329096329522744304355766896648950445244523161731856403098711121722383113622298934233803081353362766142828064444866452387493035890729629049156044077239071381051585930796086670172427121883998797908792274921901699720888093776657273330010533678812202354218097512545405947522435258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450"; | |
Math.max.apply(null, n.split("0").map(function (a) { | |
var str = a, val = 0; | |
while (str.length > 4) { | |
val = Math.max(str.substr(0,5).split("").reduce(function (d, e) { | |
return d * e; | |
}, 1), val); | |
str = str.substr(1); | |
} | |
return val; | |
})); | |
//40824 |
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(function (n) { | |
var i, j, k, evenk; | |
for (i = 1; i < n; i += 1) { | |
for (j = i + 1; j < n; j += 1) { | |
evenk = i%2 && j%2; | |
for (k = evenk ? j + 1 : j + 2; k < n; k += 2) { | |
if ((i * i) + (j * j) === (k * k) && i + j + k === 1000) { | |
return [i, j, k]; | |
} | |
} | |
} | |
} | |
}(1000)); //[200, 375, 425] |
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#5 in Erlang:
gcd(X, 0) -> X;
gcd(X, Y) -> gcd(Y, X rem Y).
lcm(X, Y) -> abs(X*Y div gcd(X,Y)).
run() -> lists:foldl(fun lcm/2, 20, lists:seq(1, 19)).