{"id":28081,"date":"2024-10-27T15:21:21","date_gmt":"2024-10-27T15:21:21","guid":{"rendered":"http:\/\/atmokpo.com\/w\/?p=28081"},"modified":"2024-11-26T07:10:01","modified_gmt":"2024-11-26T07:10:01","slug":"%ec%9e%90%eb%b0%94%ec%8a%a4%ed%81%ac%eb%a6%bd%ed%8a%b8-%ec%bd%94%eb%94%a9%ed%85%8c%ec%8a%a4%ed%8a%b8-%ea%b0%95%ec%a2%8c-%ed%99%95%ec%9e%a5-%ec%9c%a0%ed%81%b4%eb%a6%ac%eb%93%9c-%ed%98%b8%ec%a0%9c","status":"publish","type":"post","link":"https:\/\/atmokpo.com\/w\/28081\/","title":{"rendered":"\uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95"},"content":{"rendered":"

\uc548\ub155\ud558\uc138\uc694, \uc5ec\ub7ec\ubd84! \uc624\ub298\uc740 \uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8\ub97c \uc0ac\uc6a9\ud55c \ucf54\ub529\ud14c\uc2a4\ud2b8\uc5d0\uc11c \uc911\uc694\ud55c \uc54c\uace0\ub9ac\uc998 \uc911 \ud558\ub098\uc778 \ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95(Extended Euclidean Algorithm)\uc5d0 \ub300\ud574 \uc54c\uc544\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uc774 \uac15\uc88c\uc5d0\uc11c\ub294 \ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95\uc758 \uac1c\ub150, \uc774\ub97c \uc774\uc6a9\ud55c \ubb38\uc81c\ud480\uc774 \uacfc\uc815, \uadf8\ub9ac\uace0 \uc2e4\uc9c8\uc801\uc778 \ucf54\ub4dc \uc608\uc81c\ub97c \uc81c\uacf5\ud569\ub2c8\ub2e4.<\/p>\n

1. \ubb38\uc81c \uc124\uba85<\/h2>\n

\ubb38\uc81c\ub97c \ub2e4\uc74c\uacfc \uac19\uc774 \uc815\uc758\ud558\uaca0\uc2b5\ub2c8\ub2e4. \ub450 \uc815\uc218 A\uc640 B\uac00 \uc8fc\uc5b4\uc9c0\uba74, AX + BY = GCD(A, B)\ub97c \ub9cc\uc871\ud558\ub294 \uc815\uc218 X\uc640 Y\ub97c \uad6c\ud558\ub294 \ubb38\uc81c\uc785\ub2c8\ub2e4. \uc5ec\uae30\uc11c GCD\ub294 \ucd5c\ub300\uacf5\uc57d\uc218\ub97c \uc758\ubbf8\ud569\ub2c8\ub2e4.<\/p>\n

\uc608\uc81c<\/h3>\n

\uc785\ub825: A = 30, B = 21<\/p>\n

\ucd9c\ub825: X = 1, Y = -1, GCD = 3<\/p>\n

\ud480\uc774: 30 * 1 + 21 * (-1) = 3<\/p>\n

2. \uac1c\ub150 \uc124\uba85<\/h2>\n

\ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95\uc740 \ub450 \uc815\uc218\uc758 \ucd5c\ub300\uacf5\uc57d\uc218(GCD)\ub97c \uacc4\uc0b0\ud560 \ubfd0\ub9cc \uc544\ub2c8\ub77c, \uc774\ub85c\ubd80\ud130 \ud2b9\uc815 \uacc4\uc218\ub4e4\uc744 \ucc3e\ub294 \ubc29\ubc95\uc785\ub2c8\ub2e4. \uc774\ub294 \uc8fc\ub85c \ub2e4\uc74c\uc758 \uc218\uc2dd\uc5d0\uc11c \uc0ac\uc6a9\ub429\ub2c8\ub2e4:<\/p>\n

AX + BY = GCD(A, B)<\/p>\n

\uc5ec\uae30\uc11c A\uc640 B\ub294 \uc8fc\uc5b4\uc9c4 \ub450 \uc815\uc218, X\uc640 Y\ub294 \uc6b0\ub9ac\uac00 \ucc3e\uace0\uc790 \ud558\ub294 \uc815\uc218\uc785\ub2c8\ub2e4. \ub9cc\uc57d GCD\uac00 1\uc774\ub77c\uba74, A\uc640 B\ub294 \uc11c\ub85c \uc18c\uc774\ubbc0\ub85c X\uc640 Y\ub294 \ubaa8\ub4c8\ub7ec \uc5ed\uc218\ub97c \ucc3e\ub294 \ub370\uc5d0\ub3c4 \uc0ac\uc6a9\ub429\ub2c8\ub2e4.<\/p>\n

3. \uc811\uadfc \ubc29\ubc95<\/h2>\n

\uc6b0\ub9ac\ub294 GCD\ub97c \uad6c\ud558\ub294 \uc77c\ubc18\uc801\uc778 \uc720\ud074\ub9ac\ub4dc \uc54c\uace0\ub9ac\uc998\uc744 \uae30\ubc18\uc73c\ub85c \ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \uc54c\uace0\ub9ac\uc998\uc744 \uad6c\ud604\ud560 \uac83\uc785\ub2c8\ub2e4. \uc54c\uace0\ub9ac\uc998\uc758 \uc8fc\uc694 \uc544\uc774\ub514\uc5b4\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4:<\/p>\n

    \n
  1. \ub450 \uc815\uc218 A\uc640 B\ub97c \uc785\ub825\ubc1b\uc2b5\ub2c8\ub2e4.<\/li>\n
  2. If B\ub294 0\uc774\uba74, GCD\ub294 A\uc774\uba70, X\ub294 1, Y\ub294 0\uc785\ub2c8\ub2e4.<\/li>\n
  3. \uadf8\ub807\uc9c0 \uc54a\uc73c\uba74, \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95\uc744 \uc0ac\uc6a9\ud558\uc5ec B\uc640 A % B\ub85c \uc7ac\uadc0 \ud638\ucd9c\ud569\ub2c8\ub2e4.<\/li>\n
  4. \uc7ac\uadc0 \ud638\ucd9c\uc758 \uacb0\uacfc\ub97c \uc774\uc6a9\ud574 X\uc640 Y\uc758 \uac12\uc744 \uacc4\uc0b0\ud569\ub2c8\ub2e4.<\/li>\n<\/ol>\n

    4. \uc54c\uace0\ub9ac\uc998 \uad6c\ud604<\/h2>\n

    \ub2e4\uc74c\uc740 \ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \uc54c\uace0\ub9ac\uc998\uc744 \uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8\ub85c \uad6c\ud604\ud55c \uc608\uc81c\uc785\ub2c8\ub2e4:<\/p>\n

    \nfunction extendedGCD(a, b) {\n    if (b === 0) { \/\/ Base case\n        return { gcd: a, x: 1, y: 0 };\n    }\n    \/\/ Recur with the new parameters b and a % b\n    const { gcd, x: x1, y: y1 } = extendedGCD(b, a % b);\n    const x = y1;\n    const y = x1 - Math.floor(a \/ b) * y1;\n    return { gcd, x, y };\n}\n\n\/\/ Test the function with example values\nconst a = 30;\nconst b = 21;\nconst { gcd, x, y } = extendedGCD(a, b);\nconsole.log(`GCD: ${gcd}, X: ${x}, Y: ${y}`);\n<\/code><\/pre>\n
    5. \ucf54\ub4dc \uc124\uba85<\/h3>\n
    \uc704 \ucf54\ub4dc\uc5d0\uc11c \uc6b0\ub9ac\ub294 \uc7ac\uadc0\uc801\uc73c\ub85c GCD\ub97c \uad6c\ud558\uace0 \uc788\uc2b5\ub2c8\ub2e4. \uae30\ubcf8 \uc870\uac74\uc5d0\uc11c\ub294 B\uac00 0\uc77c \ub54c GCD\ub294 A\uac00 \ub418\uace0, \uc774 \ub54c X\ub294 1, Y\ub294 0\uc774 \ub429\ub2c8\ub2e4. \uadf8 \ud6c4, \ubc18\ud658\ub41c X\uc640 Y \uac12\uc744 \uc774\uc6a9\ud574 \uc0c8\ub85c\uc6b4 X\uc640 Y\ub97c \uacc4\uc0b0\ud558\uc5ec \ucd5c\uc885\uc801\uc73c\ub85c \uc6b0\ub9ac\uac00 \uc6d0\ud558\ub294 \uacb0\uacfc\ub97c \uc5bb\uc2b5\ub2c8\ub2e4.<\/p>\n
    6. \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4<\/h2>\n
    \uc774\uc81c \ub2e4\uc591\ud55c \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub97c \ud1b5\ud574 \uc704\uc758 \ud568\uc218\ub97c \uac80\uc99d\ud574\ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n
    \n\/\/ Test cases\nconst testCases = [\n    { a: 30, b: 21 },\n    { a: 48, b: 18 },\n    { a: 56, b: 15 },\n    { a: 101, b: 10 },\n];\n\ntestCases.forEach(({ a, b }) => {\n    const { gcd, x, y } = extendedGCD(a, b);\n    console.log(`A: ${a}, B: ${b} => GCD: ${gcd}, X: ${x}, Y: ${y}`);\n});\n<\/code><\/pre>\n
    7. \uc815\ub9ac<\/h2>\n
    \uc624\ub298\uc740 \ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95\uc5d0 \ub300\ud574 \uc54c\uc544\ubcf4\uc558\uc2b5\ub2c8\ub2e4. \uc774 \uc54c\uace0\ub9ac\uc998\uc740 \ub450 \uc815\uc218\uc758 \ucd5c\ub300\uacf5\uc57d\uc218\ub97c \uad6c\ud558\uace0, \uc774\uc5d0 \ub300\ud55c \ud2b9\uc815 \uacc4\uc218\ub97c \ucc3e\ub294 \ub370 \ub9e4\uc6b0 \uc720\uc6a9\ud569\ub2c8\ub2e4. \ud2b9\ud788 \ubaa8\ub4c8\ub7ec \uc5f0\uc0b0\uc774\ub098 \ubcf5\uc7a1\ud55c \uc54c\uace0\ub9ac\uc998 \ubb38\uc81c\uc5d0\uc11c \uc885\uc885 \ud65c\uc6a9\ub418\ubbc0\ub85c, \ucda9\ubd84\ud788 \uc774\ud574\ud558\uace0 \uc5f0\uc2b5\ud558\ub294 \uac83\uc774 \uc911\uc694\ud569\ub2c8\ub2e4.<\/p>\n
    \uc774 \uae00\uc5d0\uc11c \uc0ac\uc6a9\ud55c \uc54c\uace0\ub9ac\uc998\uc774 \uc5ec\ub7ec\ubd84\uc758 \ucf54\ub529 \uc2dc\ud5d8 \uc900\ube44\uc5d0 \ub3c4\uc6c0\uc774 \ub418\uae38 \ubc14\ub78d\ub2c8\ub2e4. \ucd94\uac00 \uc9c8\ubb38\uc774 \uc788\ub2e4\uba74 \ub313\uae00\ub85c \ub0a8\uaca8\uc8fc\uc138\uc694!<\/p>\n","protected":false},"excerpt":{"rendered":"
    \uc548\ub155\ud558\uc138\uc694, \uc5ec\ub7ec\ubd84! \uc624\ub298\uc740 \uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8\ub97c \uc0ac\uc6a9\ud55c \ucf54\ub529\ud14c\uc2a4\ud2b8\uc5d0\uc11c \uc911\uc694\ud55c \uc54c\uace0\ub9ac\uc998 \uc911 \ud558\ub098\uc778 \ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95(Extended Euclidean Algorithm)\uc5d0 \ub300\ud574 \uc54c\uc544\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uc774 \uac15\uc88c\uc5d0\uc11c\ub294 \ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95\uc758 \uac1c\ub150, \uc774\ub97c \uc774\uc6a9\ud55c \ubb38\uc81c\ud480\uc774 \uacfc\uc815, \uadf8\ub9ac\uace0 \uc2e4\uc9c8\uc801\uc778 \ucf54\ub4dc \uc608\uc81c\ub97c \uc81c\uacf5\ud569\ub2c8\ub2e4. 1. \ubb38\uc81c \uc124\uba85 \ubb38\uc81c\ub97c \ub2e4\uc74c\uacfc \uac19\uc774 \uc815\uc758\ud558\uaca0\uc2b5\ub2c8\ub2e4. \ub450 \uc815\uc218 A\uc640 B\uac00 \uc8fc\uc5b4\uc9c0\uba74, AX + BY = GCD(A, B)\ub97c \ub9cc\uc871\ud558\ub294 \uc815\uc218 X\uc640 Y\ub97c \uad6c\ud558\ub294 … \ub354 \ubcf4\uae30 “\uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[26],"tags":[],"class_list":["post-28081","post","type-post","status-publish","format-standard","hentry","category-26"],"yoast_head":"\n\uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95 - 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