嬈у嚑閲屽痙綆楁硶(杈楄漿鐩擱櫎娉?錛岀敤浜庤綆椾袱涓暣鏁癮,b鐨勬渶澶у叕綰︽暟銆?br />鍏惰綆楀師鐞嗕緷璧栦簬涓嬮潰鐨勫畾鐞嗭細
瀹氱悊錛歡cd(a,b) = gcd(b,a mod b)
璇佹槑錛歛鍙互琛ㄧず鎴恆 = kb + r錛屽垯r = a mod b
鍋囪d鏄痑,b鐨勪竴涓叕綰︽暟錛屽垯鏈?d|a, d|b錛?br />鑰宺 = a - kb錛屽洜姝|r
鍥犳d鏄?b,a mod b)鐨勫叕綰︽暟
鍋囪d 鏄?b,a mod b)鐨勫叕綰︽暟錛屽垯
d | b , d |r 錛屼絾鏄痑 = kb + r
鍥犳d涔熸槸(a,b)鐨勫叕綰︽暟
鍥犳(a,b)鍜?b,a mod b)鐨勫叕綰︽暟鏄竴鏍風殑錛屽叾鏈澶у叕綰︽暟涔熷繀鐒剁浉絳夛紝寰楄瘉!
錛堟敞 x|y錛歽鍙互琚玿鏁撮櫎錛屽嵆 y mod x == 0 錛?/p>
綆楁硶鎻忚堪錛?br />鍓嶆彁錛歛聽
>
聽b聽
>
聽
0
聽.
榪斿洖錛歛,b鐨勬渶澶у叕綰︽暟銆?br />紼嬪簭錛?br /> int 聽gcd( int 聽a,聽 int 聽b)
{
聽聽聽聽 for ( int 聽r聽 = 聽a聽 % 聽b;聽r聽 != 聽 0 ;聽r聽 = 聽a聽 % 聽b){
聽聽聽聽聽聽聽聽a聽 = 聽b;
聽聽聽聽聽聽聽聽b聽 = 聽r;聽聽聽聽聽聽聽聽
聽聽聽聽}
聽聽聽聽 return 聽b;
}
榪斿洖錛歛,b鐨勬渶澶у叕綰︽暟銆?br />紼嬪簭錛?br /> int 聽gcd( int 聽a,聽 int 聽b)
{
聽聽聽聽 for ( int 聽r聽 = 聽a聽 % 聽b;聽r聽 != 聽 0 ;聽r聽 = 聽a聽 % 聽b){
聽聽聽聽聽聽聽聽a聽 = 聽b;
聽聽聽聽聽聽聽聽b聽 = 聽r;聽聽聽聽聽聽聽聽
聽聽聽聽}
聽聽聽聽 return 聽b;
}
鏈煡璇嗘潵婧愪簬緗戠粶.
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