[Lua] 1000!

1000! 의 값을 보여주는 코드 (By Gemini)

-- 팩토리얼을 계산하는 함수 (큰 수 처리)
function calculateFactorial(n)
    -- 숫자의 각 자릿수를 역순으로 저장하는 테이블 (예: 123 -> {3, 2, 1})
    local result = {1} 

    for i = 2, n do
        local carry = 0
        
        -- 현재 result에 저장된 각 자릿수에 i를 곱함
        for j = 1, #result do
            local prod = result[j] * i + carry
            result[j] = prod % 10          -- 1의 자리는 현재 자리에 남김
            carry = math.floor(prod / 10)  -- 올림수는 다음 자리로 넘김
        end

        -- 남은 올림수(carry)를 배열 끝에 추가
        while carry > 0 do
            table.insert(result, carry % 10)
            carry = math.floor(carry / 10)
        end
    end

    -- 테이블을 역순으로 읽어 문자열로 합침 (원래 숫자 형태로 복원)
    local str = ""
    for i = #result, 1, -1 do
        str = str .. tostring(result[i])
    end

    return str
end

-- 1000! 계산 및 출력
local num = 1000
local fact = calculateFactorial(num)

print(num .. "! 의 자릿수: " .. string.len(fact))
print("결과값:")
print(fact)

결과

1000! 의 자릿수: 2568 결과값: 402387260077093773543702433923003985719374864210714632543799910429938512398629020592044208486969404800479988610197196058631666872994808558901323829669944590997424504087073759918823627727188732519779505950995276120874975462497043601418278094646496291056393887437886487337119181045825783647849977012476632889835955735432513185323958463075557409114262417474349347553428646576611667797396668820291207379143853719588249808126867838374559731746136085379534524221586593201928090878297308431392844403281231558611036976801357304216168747609675871348312025478589320767169132448426236131412508780208000261683151027341827977704784635868170164365024153691398281264810213092761244896359928705114964975419909342221566832572080821333186116811553615836546984046708975602900950537616475847728421889679646244945160765353408198901385442487984959953319101723355556602139450399736280750137837615307127761926849034352625200015888535147331611702103968175921510907788019393178114194545257223865541461062892187960223838971476088506276862967146674697562911234082439208160153780889893964518263243671616762179168909779911903754031274622289988005195444414282012187361745992642956581746628302955570299024324153181617210465832036786906117260158783520751516284225540265170483304226143974286933061690897968482590125458327168226458066526769958652682272807075781391858178889652208164348344825993266043367660176999612831860788386150279465955131156552036093988180612138558600301435694527224206344631797460594682573103790084024432438465657245014402821885252470935190620929023136493273497565513958720559654228749774011413346962715422845862377387538230483865688976461927383814900140767310446640259899490222221765904339901886018566526485061799702356193897017860040811889729918311021171229845901641921068884387121855646124960798722908519296819372388642614839657382291123125024186649353143970137428531926649875337218940694281434118520158014123344828015051399694290153483077644569099073152433278288269864602789864321139083506217095002597389863554277196742822248757586765752344220207573630569498825087968928162753848863396909959826280956121450994871701244516461260379029309120889086942028510640182154399457156805941872748998094254742173582401063677404595741785160829230135358081840096996372524230560855903700624271243416909004153690105933983835777939410970027753472000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000